82100312 has 32 divisors (see below), whose sum is σ = 176224800. Its totient is φ = 35126784.

The previous prime is 82100303. The next prime is 82100321. The reversal of 82100312 is 21300128.

It is an interprime number because it is at equal distance from previous prime (82100303) and next prime (82100321).

It is a super-2 number, since 2×82100312² = 13480922460994688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55778 + ... + 57230.

It is an arithmetic number, because the mean of its divisors is an integer number (5507025).

Almost surely, 2^82100312 is an apocalyptic number.

It is an amenable number.

82100312 is an abundant number, since it is smaller than the sum of its proper divisors (94124488).

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

82100312 is a wasteful number, since it uses less digits than its factorization.

82100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82100312 is about 9060.9222488663. The cubic root of 82100312 is about 434.6252323325.

The spelling of 82100312 in words is "eighty-two million, one hundred thousand, three hundred twelve".