82124415 has 32 divisors (see below), whose sum is σ = 147364800. Its totient is φ = 43390080.

The previous prime is 82124411. The next prime is 82124417. The reversal of 82124415 is 51442128.

82124415 is a `hidden beast` number, since 8 + 212 + 441 + 5 = 666.

It is not a de Polignac number, because 82124415 - 2² = 82124411 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82124411) 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 31 ways as a sum of consecutive naturals, for example, 11925 + ... + 17505.

It is an arithmetic number, because the mean of its divisors is an integer number (4605150).

Almost surely, 2^82124415 is an apocalyptic number.

82124415 is a deficient number, since it is larger than the sum of its proper divisors (65240385).

82124415 is a wasteful number, since it uses less digits than its factorization.

82124415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5698 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 82124415 is about 9062.2522035088. The cubic root of 82124415 is about 434.6677605792.

The spelling of 82124415 in words is "eighty-two million, one hundred twenty-four thousand, four hundred fifteen".