249752 has 8 divisors (see below), whose sum is σ = 468300. Its totient is φ = 124872.

The previous prime is 249749. The next prime is 249763. The reversal of 249752 is 257942.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 15602 + ... + 15617.

2²⁴⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

249752 is a deficient number, since it is larger than the sum of its proper divisors (218548).

249752 is a wasteful number, since it uses less digits than its factorization.

249752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31225 (or 31221 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 249752 is about 499.7519384655. The cubic root of 249752 is about 62.9752149082.

It can be divided in two parts, 249 and 752, that added together give a palindrome (1001).

The spelling of 249752 in words is "two hundred forty-nine thousand, seven hundred fifty-two".