83072084 has 6 divisors (see below), whose sum is σ = 145376154. Its totient is φ = 41536040.

The previous prime is 83072083. The next prime is 83072111. The reversal of 83072084 is 48027038.

It can be written as a sum of positive squares in only one way, i.e., 71031184 + 12040900 = 8428^2 + 3470^2 .

It is a super-2 number, since 2×83072084² = 13801942280206112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83072084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83072083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10384007 + ... + 10384014.

It is an arithmetic number, because the mean of its divisors is an integer number (24229359).

Almost surely, 2^83072084 is an apocalyptic number.

It is an amenable number.

83072084 is a deficient number, since it is larger than the sum of its proper divisors (62304070).

83072084 is a wasteful number, since it uses less digits than its factorization.

83072084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20768025 (or 20768023 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 83072084 is about 9114.3888440202. The cubic root of 83072084 is about 436.3333099242. Note that the first 4 decimals are identical.

The spelling of 83072084 in words is "eighty-three million, seventy-two thousand, eighty-four".