188552 has 48 divisors (see below), whose sum is σ = 454860. Its totient is φ = 72576.

The previous prime is 188533. The next prime is 188563. The reversal of 188552 is 255881.

188552 is digitally balanced in base 3, 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 188356 + 196 = 434^2 + 14^2 .

It is an unprimeable number.

188552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5078 + ... + 5114.

2¹⁸⁸⁵⁵² 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 188552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227430).

188552 is an abundant number, since it is smaller than the sum of its proper divisors (266308).

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

188552 is a wasteful number, since it uses less digits than its factorization.

188552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its digits is 3200, while the sum is 29.

The square root of 188552 is about 434.2257477396. The cubic root of 188552 is about 57.3425560549.

The spelling of 188552 in words is "one hundred eighty-eight thousand, five hundred fifty-two".