251964 has 24 divisors (see below), whose sum is σ = 653520. Its totient is φ = 83952.

The previous prime is 251947. The next prime is 251969. The reversal of 251964 is 469152.

251964 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251969) by changing a digit.

251964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (27230).

2²⁵¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

251964 is an abundant number, since it is smaller than the sum of its proper divisors (401556).

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

251964 is a wasteful number, since it uses less digits than its factorization.

251964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 251964 is about 501.9601577815. The cubic root of 251964 is about 63.1605880430.

It can be divided in two parts, 25196 and 4, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 251964 in words is "two hundred fifty-one thousand, nine hundred sixty-four".