251972 has 12 divisors (see below), whose sum is σ = 504000. Its totient is φ = 107976.

The previous prime is 251971. The next prime is 251983. The reversal of 251972 is 279152.

251972 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (251971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4472 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2²⁵¹⁹⁷² is an apocalyptic number.

It is an amenable number.

251972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251972 is a wasteful number, since it uses less digits than its factorization.

251972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 9008 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 251972 is about 501.9681264782. The cubic root of 251972 is about 63.1612564975.

The spelling of 251972 in words is "two hundred fifty-one thousand, nine hundred seventy-two".