82920132 has 48 divisors (see below), whose sum is σ = 215817280. Its totient is φ = 27532224.

The previous prime is 82920127. The next prime is 82920137. The reversal of 82920132 is 23102928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82920127) and next prime (82920137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82920096 and 82920105.

It is not an unprimeable number, because it can be changed into a prime (82920137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29208 + ... + 31920.

Almost surely, 2^82920132 is an apocalyptic number.

It is an amenable number.

82920132 is an abundant number, since it is smaller than the sum of its proper divisors (132897148).

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

82920132 is a wasteful number, since it uses less digits than its factorization.

82920132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82920132 is about 9106.0491981979. The cubic root of 82920132 is about 436.0671066363.

The spelling of 82920132 in words is "eighty-two million, nine hundred twenty thousand, one hundred thirty-two".