83135104 has 64 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 37518336.

The previous prime is 83135081. The next prime is 83135113. The reversal of 83135104 is 40153138.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×83135104² = 13822891034181632, which contains 22 as substring.

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, 77677 + ... + 78739.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^83135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

83135104 is an abundant number, since it is smaller than the sum of its proper divisors (99191936).

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

83135104 is a wasteful number, since it uses less digits than its factorization.

83135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 83135104 is about 9117.8453595134. The cubic root of 83135104 is about 436.4436188405.

The spelling of 83135104 in words is "eighty-three million, one hundred thirty-five thousand, one hundred four".