83325032 has 64 divisors (see below), whose sum is σ = 190771200. Its totient is φ = 33324480.

The previous prime is 83325029. The next prime is 83325049. The reversal of 83325032 is 23052338.

It is a junction number, because it is equal to n+sod(n) for n = 83324992 and 83325010.

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, 74993 + ... + 76095.

It is an arithmetic number, because the mean of its divisors is an integer number (2980800).

Almost surely, 2^83325032 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 83325032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95385600).

83325032 is an abundant number, since it is smaller than the sum of its proper divisors (107446168).

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

83325032 is a wasteful number, since it uses less digits than its factorization.

83325032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 83325032 is about 9128.2545976764. The cubic root of 83325032 is about 436.7757281213.

The spelling of 83325032 in words is "eighty-three million, three hundred twenty-five thousand, thirty-two".