83982906 has 80 divisors (see below), whose sum is σ = 222097920. Its totient is φ = 23211360.

The previous prime is 83982893. The next prime is 83982919. The reversal of 83982906 is 60928938.

It is an interprime number because it is at equal distance from previous prime (83982893) and next prime (83982919).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33960 + ... + 36348.

It is an arithmetic number, because the mean of its divisors is an integer number (2776224).

Almost surely, 2^83982906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83982906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111048960).

83982906 is an abundant number, since it is smaller than the sum of its proper divisors (138115014).

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

83982906 is a wasteful number, since it uses less digits than its factorization.

83982906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 83982906 is about 9164.2187883092. The cubic root of 83982906 is about 437.9222042352.

The spelling of 83982906 in words is "eighty-three million, nine hundred eighty-two thousand, nine hundred six".