82138815 has 96 divisors (see below), whose sum is σ = 169019136. Its totient is φ = 36449280.

The previous prime is 82138811. The next prime is 82138831. The reversal of 82138815 is 51883128.

82138815 = T₅₉ + T₆₀ + ... + T₇₈₉.

It is not a de Polignac number, because 82138815 - 2² = 82138811 is a prime.

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 self number, because there is not a number n which added to its sum of digits gives 82138815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82138811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361732 + ... + 361958.

It is an arithmetic number, because the mean of its divisors is an integer number (1760616).

Almost surely, 2^82138815 is an apocalyptic number.

82138815 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82138815 is an abundant number, since it is smaller than the sum of its proper divisors (86880321).

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

82138815 is a wasteful number, since it uses less digits than its factorization.

82138815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 82138815 is about 9063.0466731668. The cubic root of 82138815 is about 434.6931645144.

The spelling of 82138815 in words is "eighty-two million, one hundred thirty-eight thousand, eight hundred fifteen".