249075 has 36 divisors (see below), whose sum is σ = 473928. Its totient is φ = 129600.

The previous prime is 249059. The next prime is 249079. The reversal of 249075 is 570942.

It is not a de Polignac number, because 249075 - 2⁴ = 249059 is a prime.

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

249075 is a lucky number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (249079) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6055 + ... + 6095.

2²⁴⁹⁰⁷⁵ is an apocalyptic number.

249075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

249075 is a deficient number, since it is larger than the sum of its proper divisors (224853).

249075 is an equidigital number, since it uses as much as digits as its factorization.

249075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 249075 is about 499.0741427884. The cubic root of 249075 is about 62.9182613419.

The spelling of 249075 in words is "two hundred forty-nine thousand, seventy-five".