82083104 has 48 divisors (see below), whose sum is σ = 165405240. Its totient is φ = 40089600.

The previous prime is 82083091. The next prime is 82083109. The reversal of 82083104 is 40138028.

It can be written as a sum of positive squares in 4 ways, for example, as 80066704 + 2016400 = 8948^2 + 1420^2 .

It is not an unprimeable number, because it can be changed into a prime (82083109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352172 + ... + 352404.

Almost surely, 2^82083104 is an apocalyptic number.

It is an amenable number.

82083104 is an abundant number, since it is smaller than the sum of its proper divisors (83322136).

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

82083104 is a wasteful number, since it uses less digits than its factorization.

82083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82083104 is about 9059.9726268902. The cubic root of 82083104 is about 434.5948647922.

The spelling of 82083104 in words is "eighty-two million, eighty-three thousand, one hundred four".