189252 has 36 divisors (see below), whose sum is σ = 547456. Its totient is φ = 54000.

The previous prime is 189251. The next prime is 189253. The reversal of 189252 is 252981.

It is an interprime number because it is at equal distance from previous prime (189251) and next prime (189253).

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (189251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 627.

2¹⁸⁹²⁵² is an apocalyptic number.

189252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189252 is an abundant number, since it is smaller than the sum of its proper divisors (358204).

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

189252 is a wasteful number, since it uses less digits than its factorization.

189252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 763 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 189252 is about 435.0310333758. The cubic root of 189252 is about 57.4134299048.

Subtracting from 189252 its sum of digits (27), we obtain a square (189225 = 435²).

It can be divided in two parts, 189 and 252, that added together give a square (441 = 21²).

The spelling of 189252 in words is "one hundred eighty-nine thousand, two hundred fifty-two".