83134980 has 36 divisors (see below), whose sum is σ = 252176652. Its totient is φ = 22169280.

The previous prime is 83134979. The next prime is 83134993. The reversal of 83134980 is 8943138.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 66292164 = 4104^2 + 8142^2 .

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

It is a super-2 number, since 2×83134980² = 13822849799200800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230751 + ... + 231110.

It is an arithmetic number, because the mean of its divisors is an integer number (7004907).

Almost surely, 2^83134980 is an apocalyptic number.

It is an amenable number.

83134980 is an abundant number, since it is smaller than the sum of its proper divisors (169041672).

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

83134980 is a wasteful number, since it uses less digits than its factorization.

83134980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461876 (or 461871 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83134980 is about 9117.8385596588. The cubic root of 83134980 is about 436.4434018482.

The spelling of 83134980 in words is "eighty-three million, one hundred thirty-four thousand, nine hundred eighty".