249552 has 30 divisors (see below), whose sum is σ = 698802. Its totient is φ = 83136.

The previous prime is 249541. The next prime is 249563. The reversal of 249552 is 255942.

It is an interprime number because it is at equal distance from previous prime (249541) and next prime (249563).

It can be written as a sum of positive squares in only one way, i.e., 207936 + 41616 = 456^2 + 204^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249552.

It is an unprimeable number.

249552 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 5 ways as a sum of consecutive naturals, for example, 723 + ... + 1010.

2²⁴⁹⁵⁵² is an apocalyptic number.

It is an amenable number.

249552 is an abundant number, since it is smaller than the sum of its proper divisors (449250).

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

249552 is a wasteful number, since it uses less digits than its factorization.

249552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1738 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 249552 is about 499.5517991160. The cubic root of 249552 is about 62.9584003529.

The spelling of 249552 in words is "two hundred forty-nine thousand, five hundred fifty-two".