83402112 has 64 divisors (see below), whose sum is σ = 226733760. Its totient is φ = 27148800.

The previous prime is 83402101. The next prime is 83402129. The reversal of 83402112 is 21120438.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13987 + ... + 19037.

It is an arithmetic number, because the mean of its divisors is an integer number (3542715).

Almost surely, 2^83402112 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 83402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113366880).

83402112 is an abundant number, since it is smaller than the sum of its proper divisors (143331648).

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

83402112 is a wasteful number, since it uses less digits than its factorization.

83402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83402112 is about 9132.4756774929. The cubic root of 83402112 is about 436.9103667227.

The spelling of 83402112 in words is "eighty-three million, four hundred two thousand, one hundred twelve".