83090916 has 36 divisors (see below), whose sum is σ = 217280700. Its totient is φ = 26741568.

The previous prime is 83090873. The next prime is 83090923. The reversal of 83090916 is 61909038.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 52620516 = 5520^2 + 7254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38751 + ... + 40838.

It is an arithmetic number, because the mean of its divisors is an integer number (6035575).

Almost surely, 2^83090916 is an apocalyptic number.

It is an amenable number.

83090916 is an abundant number, since it is smaller than the sum of its proper divisors (134189784).

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

83090916 is a wasteful number, since it uses less digits than its factorization.

83090916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79628 (or 79623 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 83090916 is about 9115.4218772364. The cubic root of 83090916 is about 436.3662789139.

The spelling of 83090916 in words is "eighty-three million, ninety thousand, nine hundred sixteen".