249975 has 36 divisors (see below), whose sum is σ = 493272. Its totient is φ = 120000.

The previous prime is 249973. The next prime is 249989. The reversal of 249975 is 579942.

It is not a de Polignac number, because 249975 - 2¹ = 249973 is a prime.

Its product of digits (22680) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249971) by changing a digit.

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, 2425 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (13702).

249975 is a Friedman number, since it can be written as 495*(2^9-7), using all its digits and the basic arithmetic operations.

2²⁴⁹⁹⁷⁵ is an apocalyptic number.

249975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249975 is a deficient number, since it is larger than the sum of its proper divisors (243297).

249975 is a wasteful number, since it uses less digits than its factorization.

249975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 249975 is about 499.9749993750. The cubic root of 249975 is about 62.9939525563.

It can be divided in two parts, 24 and 9975, that added together give a palindrome (9999).

The spelling of 249975 in words is "two hundred forty-nine thousand, nine hundred seventy-five".