251772 has 12 divisors (see below), whose sum is σ = 587496. Its totient is φ = 83920.

The previous prime is 251761. The next prime is 251789. The reversal of 251772 is 277152.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 2⁶ + 5² + 7⁶ + 1 + 7⁶ + 2¹⁴ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10479 + ... + 10502.

It is an arithmetic number, because the mean of its divisors is an integer number (48958).

2²⁵¹⁷⁷² is an apocalyptic number.

It is an amenable number.

251772 is an abundant number, since it is smaller than the sum of its proper divisors (335724).

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

251772 is a wasteful number, since it uses less digits than its factorization.

251772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988 (or 20986 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 251772 is about 501.7688710950. The cubic root of 251772 is about 63.1445408902.

The spelling of 251772 in words is "two hundred fifty-one thousand, seven hundred seventy-two".