83006904 has 32 divisors (see below), whose sum is σ = 211435920. Its totient is φ = 27146496.

The previous prime is 83006893. The next prime is 83006969. The reversal of 83006904 is 40960038.

It is a super-2 number, since 2×83006904² = 13780292223330432, 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, 31357 + ... + 33900.

Almost surely, 2^83006904 is an apocalyptic number.

It is an amenable number.

83006904 is an abundant number, since it is smaller than the sum of its proper divisors (128429016).

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

83006904 is a wasteful number, since it uses less digits than its factorization.

83006904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65319 (or 65315 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83006904 is about 9110.8124774907. The cubic root of 83006904 is about 436.2191614832.

The spelling of 83006904 in words is "eighty-three million, six thousand, nine hundred four".