256972 has 12 divisors (see below), whose sum is σ = 476280. Its totient is φ = 120896.

The previous prime is 256967. The next prime is 256981. The reversal of 256972 is 279652.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1822 + ... + 1957.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2²⁵⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

256972 is a deficient number, since it is larger than the sum of its proper divisors (219308).

256972 is a wasteful number, since it uses less digits than its factorization.

256972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3798 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 256972 is about 506.9240574287. The cubic root of 256972 is about 63.5763027626.

It can be divided in two parts, 256 and 972, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 256972 in words is "two hundred fifty-six thousand, nine hundred seventy-two".