83507825 has 24 divisors (see below), whose sum is σ = 114421248. Its totient is φ = 60135680.

The previous prime is 83507813. The next prime is 83507881. The reversal of 83507825 is 52870538.

It is not a de Polignac number, because 83507825 - 2⁶ = 83507761 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5504 + ... + 14046.

It is an arithmetic number, because the mean of its divisors is an integer number (4767552).

Almost surely, 2^83507825 is an apocalyptic number.

83507825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83507825 is a deficient number, since it is larger than the sum of its proper divisors (30913423).

83507825 is a wasteful number, since it uses less digits than its factorization.

83507825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 83507825 is about 9138.2615961681. The cubic root of 83507825 is about 437.0948848522.

The spelling of 83507825 in words is "eighty-three million, five hundred seven thousand, eight hundred twenty-five".