82100408 has 32 divisors (see below), whose sum is σ = 166222560. Its totient is φ = 37791360.

The previous prime is 82100383. The next prime is 82100411. The reversal of 82100408 is 80400128.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49838 + ... + 51458.

It is an arithmetic number, because the mean of its divisors is an integer number (5194455).

Almost surely, 2^82100408 is an apocalyptic number.

It is an amenable number.

82100408 is an abundant number, since it is smaller than the sum of its proper divisors (84122152).

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

82100408 is a wasteful number, since it uses less digits than its factorization.

82100408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 82100408 is about 9060.9275463387. The cubic root of 82100408 is about 434.6254017350.

The spelling of 82100408 in words is "eighty-two million, one hundred thousand, four hundred eight".