249232 has 20 divisors (see below), whose sum is σ = 497116. Its totient is φ = 120960.

The previous prime is 249229. The next prime is 249233. The reversal of 249232 is 232942.

249232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 156816 = 304^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (249233) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382 + ... + 802.

2²⁴⁹²³² is an apocalyptic number.

It is an amenable number.

249232 is a deficient number, since it is larger than the sum of its proper divisors (247884).

249232 is a wasteful number, since it uses less digits than its factorization.

249232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 249232 is about 499.2314092683. The cubic root of 249232 is about 62.9314783679.

Subtracting from 249232 its reverse (232942), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 249232 in words is "two hundred forty-nine thousand, two hundred thirty-two".