99252 has 24 divisors (see below), whose sum is σ = 257600. Its totient is φ = 33048.

The previous prime is 99251. The next prime is 99257. The reversal of 99252 is 25299.

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

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 99252.

It is not an unprimeable number, because it can be changed into a prime (99251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 567.

2⁹⁹²⁵² is an apocalyptic number.

It is an amenable number.

99252 is an abundant number, since it is smaller than the sum of its proper divisors (158348).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128800).

99252 is a wasteful number, since it uses less digits than its factorization.

99252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 99252 is about 315.0428542278. The cubic root of 99252 is about 46.2998682953.

Subtracting from 99252 its sum of digits (27), we obtain a square (99225 = 315²).

It can be divided in two parts, 99 and 252, that added together give a triangular number (351 = T₂₆).

The spelling of 99252 in words is "ninety-nine thousand, two hundred fifty-two".