83102832 has 60 divisors (see below), whose sum is σ = 237998904. Its totient is φ = 27054720.

The previous prime is 83102821. The next prime is 83102843. The reversal of 83102832 is 23820138.

It is an interprime number because it is at equal distance from previous prime (83102821) and next prime (83102843).

It is a junction number, because it is equal to n+sod(n) for n = 83102796 and 83102805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 12902.

Almost surely, 2^83102832 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 83102832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118999452).

83102832 is an abundant number, since it is smaller than the sum of its proper divisors (154896072).

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

83102832 is a wasteful number, since it uses less digits than its factorization.

83102832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83102832 is about 9116.0754713857. The cubic root of 83102832 is about 436.3871375600.

The spelling of 83102832 in words is "eighty-three million, one hundred two thousand, eight hundred thirty-two".