39500825 has 48 divisors (see below), whose sum is σ = 61246080. Its totient is φ = 24606720.

The previous prime is 39500819. The next prime is 39500827. The reversal of 39500825 is 52800593.

It is a happy number.

39500825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39500825 - 2⁶ = 39500761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 39500791 and 39500800.

It is not an unprimeable number, because it can be changed into a prime (39500827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220586 + ... + 220764.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^39500825 is an apocalyptic number.

39500825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39500825 is a deficient number, since it is larger than the sum of its proper divisors (21745255).

39500825 is a wasteful number, since it uses less digits than its factorization.

39500825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 39500825 is about 6284.9681781215. The cubic root of 39500825 is about 340.5666013847.

The spelling of 39500825 in words is "thirty-nine million, five hundred thousand, eight hundred twenty-five".