83825307 has 8 divisors (see below), whose sum is σ = 124185680. Its totient is φ = 55883520.

The previous prime is 83825297. The next prime is 83825309. The reversal of 83825307 is 70352838.

It is not a de Polignac number, because 83825307 - 2¹² = 83821211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83825309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1552294 + ... + 1552347.

It is an arithmetic number, because the mean of its divisors is an integer number (15523210).

Almost surely, 2^83825307 is an apocalyptic number.

83825307 is a deficient number, since it is larger than the sum of its proper divisors (40360373).

83825307 is a wasteful number, since it uses less digits than its factorization.

83825307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104650 (or 3104644 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83825307 is about 9155.6161452957. The cubic root of 83825307 is about 437.6481035451.

It can be divided in two parts, 8382 and 5307, that added together give a square (13689 = 117²).

The spelling of 83825307 in words is "eighty-three million, eight hundred twenty-five thousand, three hundred seven".