249375 has 40 divisors (see below), whose sum is σ = 499840. Its totient is φ = 108000.

The previous prime is 249367. The next prime is 249377. The reversal of 249375 is 573942.

It is not a de Polignac number, because 249375 - 2³ = 249367 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13116 + ... + 13134.

It is an arithmetic number, because the mean of its divisors is an integer number (12496).

249375 is a Friedman number, since it can be written as (392+7)*5^4, using all its digits and the basic arithmetic operations.

2²⁴⁹³⁷⁵ is an apocalyptic number.

249375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249375 is an abundant number, since it is smaller than the sum of its proper divisors (250465).

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

249375 is an equidigital number, since it uses as much as digits as its factorization.

249375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 34 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 249375 is about 499.3746088860. The cubic root of 249375 is about 62.9435119762.

It can be divided in two parts, 24937 and 5, that added together give a palindrome (24942).

The spelling of 249375 in words is "two hundred forty-nine thousand, three hundred seventy-five".