249252 has 12 divisors (see below), whose sum is σ = 581616. Its totient is φ = 83080.

The previous prime is 249233. The next prime is 249253. The reversal of 249252 is 252942.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (249253) by changing a digit.

249252 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 3 ways as a sum of consecutive naturals, for example, 10374 + ... + 10397.

It is an arithmetic number, because the mean of its divisors is an integer number (48468).

2²⁴⁹²⁵² is an apocalyptic number.

It is an amenable number.

249252 is an abundant number, since it is smaller than the sum of its proper divisors (332364).

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

249252 is a wasteful number, since it uses less digits than its factorization.

249252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778 (or 20776 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 249252 is about 499.2514396574. The cubic root of 249252 is about 62.9331616668.

The spelling of 249252 in words is "two hundred forty-nine thousand, two hundred fifty-two".