83231904 has 96 divisors (see below), whose sum is σ = 251306496. Its totient is φ = 23627520.

The previous prime is 83231903. The next prime is 83231921. The reversal of 83231904 is 40913238.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (83231903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141499 + ... + 142085.

It is an arithmetic number, because the mean of its divisors is an integer number (2617776).

Almost surely, 2^83231904 is an apocalyptic number.

83231904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83231904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125653248).

83231904 is an abundant number, since it is smaller than the sum of its proper divisors (168074592).

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

83231904 is a wasteful number, since it uses less digits than its factorization.

83231904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83231904 is about 9123.1520868612. The cubic root of 83231904 is about 436.6129470527.

The spelling of 83231904 in words is "eighty-three million, two hundred thirty-one thousand, nine hundred four".