83181380 has 48 divisors (see below), whose sum is σ = 180033840. Its totient is φ = 32268288.

The previous prime is 83181379. The next prime is 83181407. The reversal of 83181380 is 8318138.

It can be written as a sum of positive squares in 8 ways, for example, as 4468996 + 78712384 = 2114^2 + 8872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102416 + ... + 103224.

It is an arithmetic number, because the mean of its divisors is an integer number (3750705).

Almost surely, 2^83181380 is an apocalyptic number.

It is an amenable number.

83181380 is an abundant number, since it is smaller than the sum of its proper divisors (96852460).

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

83181380 is a wasteful number, since it uses less digits than its factorization.

83181380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 83181380 is about 9120.3826674104. The cubic root of 83181380 is about 436.5245839109.

The spelling of 83181380 in words is "eighty-three million, one hundred eighty-one thousand, three hundred eighty".