249992 has 8 divisors (see below), whose sum is σ = 468750. Its totient is φ = 124992.

The previous prime is 249989. The next prime is 250007. The reversal of 249992 is 299942.

It can be written as a sum of positive squares in only one way, i.e., 198916 + 51076 = 446^2 + 226^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15617 + ... + 15632.

2²⁴⁹⁹⁹² is an apocalyptic number.

It is an amenable number.

249992 is a deficient number, since it is larger than the sum of its proper divisors (218758).

249992 is a wasteful number, since it uses less digits than its factorization.

249992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31255 (or 31251 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 249992 is about 499.9919999360. The cubic root of 249992 is about 62.9953805297.

Subtracting from 249992 its product of digits (11664), we obtain a cube (238328 = 62³).

It can be divided in two parts, 2 and 49992, that added together give a palindrome (49994).

The spelling of 249992 in words is "two hundred forty-nine thousand, nine hundred ninety-two".