83114304 has 224 divisors, whose sum is σ = 278562816. Its totient is φ = 21288960.

The previous prime is 83114299. The next prime is 83114323. The reversal of 83114304 is 40341138.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1170589 + ... + 1170659.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^83114304 is an apocalyptic number.

83114304 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 83114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281408).

83114304 is an abundant number, since it is smaller than the sum of its proper divisors (195448512).

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

83114304 is a wasteful number, since it uses less digits than its factorization.

83114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83114304 is about 9116.7046678062. The cubic root of 83114304 is about 436.4072171120.

The spelling of 83114304 in words is "eighty-three million, one hundred fourteen thousand, three hundred four".