83336832 has 48 divisors (see below), whose sum is σ = 239813730. Its totient is φ = 27778560.

The previous prime is 83336819. The next prime is 83336833. The reversal of 83336832 is 23863338.

It can be written as a sum of positive squares in only one way, i.e., 55711296 + 27625536 = 7464^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83336833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35019 + ... + 37322.

Almost surely, 2^83336832 is an apocalyptic number.

It is an amenable number.

83336832 is an abundant number, since it is smaller than the sum of its proper divisors (156476898).

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

83336832 is a wasteful number, since it uses less digits than its factorization.

83336832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72361 (or 72346 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 83336832 is about 9128.9009196069. The cubic root of 83336832 is about 436.7963450163.

The spelling of 83336832 in words is "eighty-three million, three hundred thirty-six thousand, eight hundred thirty-two".