249165 has 36 divisors (see below), whose sum is σ = 506844. Its totient is φ = 112896.

The previous prime is 249143. The next prime is 249181. The reversal of 249165 is 561942.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 213444 = 189^2 + 462^2 .

It is not a de Polignac number, because 249165 - 2⁵ = 249133 is a prime.

It is a Curzon number.

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 249165.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2149 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (14079).

2²⁴⁹¹⁶⁵ is an apocalyptic number.

It is an amenable number.

249165 is an abundant number, since it is smaller than the sum of its proper divisors (257679).

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

249165 is a wasteful number, since it uses less digits than its factorization.

249165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

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

The square root of 249165 is about 499.1643016082. The cubic root of 249165 is about 62.9258386601.

It can be divided in two parts, 2491 and 65, that added together give a triangular number (2556 = T₇₁).

The spelling of 249165 in words is "two hundred forty-nine thousand, one hundred sixty-five".