249925 has 12 divisors (see below), whose sum is σ = 334180. Its totient is φ = 184320.

The previous prime is 249923. The next prime is 249943. The reversal of 249925 is 529942.

249925 = 353² + 354².

It can be written as a sum of positive squares in 6 ways, for example, as 36481 + 213444 = 191^2 + 462^2 .

It is not a de Polignac number, because 249925 - 2¹ = 249923 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 709.

2²⁴⁹⁹²⁵ is an apocalyptic number.

249925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249925 is the 354-th centered square number.

It is an amenable number.

249925 is a deficient number, since it is larger than the sum of its proper divisors (84255).

249925 is a wasteful number, since it uses less digits than its factorization.

249925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 787 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 249925 is about 499.9249943742. The cubic root of 249925 is about 62.9897522594.

The spelling of 249925 in words is "two hundred forty-nine thousand, nine hundred twenty-five".