83086100 has 18 divisors (see below), whose sum is σ = 180297054. Its totient is φ = 33234400.

The previous prime is 83086099. The next prime is 83086111. The reversal of 83086100 is 168038.

It can be written as a sum of positive squares in 3 ways, for example, as 857476 + 82228624 = 926^2 + 9068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83086100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 415331 + ... + 415530.

It is an arithmetic number, because the mean of its divisors is an integer number (10016503).

Almost surely, 2^83086100 is an apocalyptic number.

It is an amenable number.

83086100 is an abundant number, since it is smaller than the sum of its proper divisors (97210954).

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

83086100 is a wasteful number, since it uses less digits than its factorization.

83086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830875 (or 830868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 83086100 is about 9115.1577057120. The cubic root of 83086100 is about 436.3578480661.

The spelling of 83086100 in words is "eighty-three million, eighty-six thousand, one hundred".