256829965 has 24 divisors (see below), whose sum is σ = 374176512. Its totient is φ = 165745920.

The previous prime is 256829939. The next prime is 256829981. The reversal of 256829965 is 569928652.

It is a happy number.

It is not a de Polignac number, because 256829965 - 2¹⁵ = 256797197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581 + ... + 22810.

It is an arithmetic number, because the mean of its divisors is an integer number (15590688).

Almost surely, 2^256829965 is an apocalyptic number.

It is an amenable number.

256829965 is a deficient number, since it is larger than the sum of its proper divisors (117346547).

256829965 is a wasteful number, since it uses less digits than its factorization.

256829965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25437 (or 25420 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 52.

The square root of 256829965 is about 16025.9154184714. The cubic root of 256829965 is about 635.6458718738.

The spelling of 256829965 in words is "two hundred fifty-six million, eight hundred twenty-nine thousand, nine hundred sixty-five".