82188945 has 32 divisors (see below), whose sum is σ = 146563200. Its totient is φ = 43699392.

The previous prime is 82188941. The next prime is 82188971. The reversal of 82188945 is 54988128.

It is a happy number.

It is not a de Polignac number, because 82188945 - 2² = 82188941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82188945.

It is not an unprimeable number, because it can be changed into a prime (82188941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55839 + ... + 57291.

It is an arithmetic number, because the mean of its divisors is an integer number (4580100).

Almost surely, 2^82188945 is an apocalyptic number.

It is an amenable number.

82188945 is a deficient number, since it is larger than the sum of its proper divisors (64374255).

82188945 is a wasteful number, since it uses less digits than its factorization.

82188945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1880 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 82188945 is about 9065.8118775982. The cubic root of 82188945 is about 434.7815788113.

The spelling of 82188945 in words is "eighty-two million, one hundred eighty-eight thousand, nine hundred forty-five".