83294904 has 192 divisors, whose sum is σ = 271848960. Its totient is φ = 21020160.

The previous prime is 83294851. The next prime is 83294927. The reversal of 83294904 is 40949238.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607924 + ... + 608060.

It is an arithmetic number, because the mean of its divisors is an integer number (1415880).

Almost surely, 2^83294904 is an apocalyptic number.

83294904 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 83294904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924480).

83294904 is an abundant number, since it is smaller than the sum of its proper divisors (188554056).

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

83294904 is a wasteful number, since it uses less digits than its factorization.

83294904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 83294904 is about 9126.6041877579. The cubic root of 83294904 is about 436.7230798148.

The spelling of 83294904 in words is "eighty-three million, two hundred ninety-four thousand, nine hundred four".