185252 has 12 divisors (see below), whose sum is σ = 335580. Its totient is φ = 89376.

The previous prime is 185243. The next prime is 185267. The reversal of 185252 is 252581.

185252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 119716 = 256^2 + 346^2 .

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

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 683 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (27965).

2¹⁸⁵²⁵² is an apocalyptic number.

It is an amenable number.

185252 is a deficient number, since it is larger than the sum of its proper divisors (150328).

185252 is a wasteful number, since it uses less digits than its factorization.

185252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its digits is 800, while the sum is 23.

The square root of 185252 is about 430.4091077103. The cubic root of 185252 is about 57.0060525019.

The spelling of 185252 in words is "one hundred eighty-five thousand, two hundred fifty-two".