83500032 has 176 divisors, whose sum is σ = 278260992. Its totient is φ = 21626880.

The previous prime is 83500013. The next prime is 83500049. The reversal of 83500032 is 23000538.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 83499981 and 83500008.

It is a congruent number.

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, 236368 + ... + 236720.

Almost surely, 2^83500032 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 83500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139130496).

83500032 is an abundant number, since it is smaller than the sum of its proper divisors (194760960).

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

83500032 is a wasteful number, since it uses less digits than its factorization.

83500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 83500032 is about 9137.8351922105. The cubic root of 83500032 is about 437.0812877775.

The spelling of 83500032 in words is "eighty-three million, five hundred thousand, thirty-two".