249125 has 8 divisors (see below), whose sum is σ = 311064. Its totient is φ = 199200.

The previous prime is 249107. The next prime is 249127. The reversal of 249125 is 521942.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 247009 = 46^2 + 497^2 .

It is not a de Polignac number, because 249125 - 2⁸ = 248869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (38883).

2²⁴⁹¹²⁵ is an apocalyptic number.

249125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249125 is a deficient number, since it is larger than the sum of its proper divisors (61939).

249125 is an equidigital number, since it uses as much as digits as its factorization.

249125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1998 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 249125 is about 499.1242330322. The cubic root of 249125 is about 62.9224711884.

It can be divided in two parts, 249 and 125, that multiplied together give a triangular number (31125 = T₂₄₉).

The spelling of 249125 in words is "two hundred forty-nine thousand, one hundred twenty-five".