249536 has 28 divisors (see below), whose sum is σ = 566928. Its totient is φ = 106752.

The previous prime is 249533. The next prime is 249539. The reversal of 249536 is 635942.

249536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249533) and next prime (249539).

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 249499 and 249508.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249536.

It is not an unprimeable number, because it can be changed into a prime (249533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 726.

2²⁴⁹⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283464).

249536 is an abundant number, since it is smaller than the sum of its proper divisors (317392).

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

249536 is an equidigital number, since it uses as much as digits as its factorization.

249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 249536 is about 499.5357845040. The cubic root of 249536 is about 62.9570548004.

The spelling of 249536 in words is "two hundred forty-nine thousand, five hundred thirty-six".