83939625 has 256 divisors, whose sum is σ = 215654400. Its totient is φ = 31104000.

The previous prime is 83939573. The next prime is 83939683. The reversal of 83939625 is 52693938.

It is not a de Polignac number, because 83939625 - 2⁷ = 83939497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4417866 + ... + 4417884.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^83939625 is an apocalyptic number.

83939625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83939625 is an abundant number, since it is smaller than the sum of its proper divisors (131714775).

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

83939625 is a wasteful number, since it uses less digits than its factorization.

83939625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 83939625 is about 9161.8570715767. The cubic root of 83939625 is about 437.8469628608.

The spelling of 83939625 in words is "eighty-three million, nine hundred thirty-nine thousand, six hundred twenty-five".