82188252 has 36 divisors (see below), whose sum is σ = 208274976. Its totient is φ = 27327360.

The previous prime is 82188241. The next prime is 82188259. The reversal of 82188252 is 25288128.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82188259) 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, 12868 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (5785416).

Almost surely, 2^82188252 is an apocalyptic number.

It is an amenable number.

82188252 is an abundant number, since it is smaller than the sum of its proper divisors (126086724).

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

82188252 is a wasteful number, since it uses less digits than its factorization.

82188252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5733 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 82188252 is about 9065.7736570025. The cubic root of 82188252 is about 434.7803568121.

The spelling of 82188252 in words is "eighty-two million, one hundred eighty-eight thousand, two hundred fifty-two".