66049 has 3 divisors (see below), whose sum is σ = 66307. Its totient is φ = 65792.

The previous prime is 66047. The next prime is 66067. The reversal of 66049 is 94066.

66049 = T_{256} + T_{257}.

The square root of 66049 is 257.

It is a perfect power (a square), and thus also a powerful number.

66049 is nontrivially palindromic in base 4 and base 16.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 1024 = 255^2 + 32^2 .

It is not a de Polignac number, because 66049 - 2^{1} = 66047 is a prime.

It is a d-powerful number, because it can be written as **6**^{3} + **6**^{3} + **0** + **4**^{8} + **9**^{2} .

It is a Duffinian number.

66049 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (66041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 129 + ... + 385.

It is a Proth number, since it is equal to 129 ⋅ 2^{9} + 1 and 129 < 2^{9}.

2^{66049} is an apocalyptic number.

66049 is the 257-th square number.

66049 is the 129-th centered octagonal number.

It is an amenable number.

66049 is a deficient number, since it is larger than the sum of its proper divisors (258).

66049 is an frugal number, since it uses more digits than its factorization.

66049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 66049 is about 40.4223987808.

Multiplying 66049 by its sum of digits (25), we get a square (1651225 = 1285^{2}).

Multiplying 66049 by its product of nonzero digits (1296), we get a square (85599504 = 9252^{2}).

The spelling of 66049 in words is "sixty-six thousand, forty-nine".

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