249156 has 30 divisors (see below), whose sum is σ = 652190. Its totient is φ = 82944.

The previous prime is 249143. The next prime is 249181. The reversal of 249156 is 651942.

249156 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 only one way, i.e., 202500 + 46656 = 450^2 + 216^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61 + ... + 708.

2²⁴⁹¹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326095).

249156 is an abundant number, since it is smaller than the sum of its proper divisors (403034).

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

249156 is a wasteful number, since it uses less digits than its factorization.

249156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

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

The square root of 249156 is about 499.1552864590. The cubic root of 249156 is about 62.9250810104.

It can be divided in two parts, 24 and 9156, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 249156 in words is "two hundred forty-nine thousand, one hundred fifty-six".