39713625 has 96 divisors (see below), whose sum is σ = 86012160. Its totient is φ = 17712000.

The previous prime is 39713599. The next prime is 39713659. The reversal of 39713625 is 52631793.

It is not a de Polignac number, because 39713625 - 2⁵ = 39713593 is a prime.

It is a super-3 number, since 3×39713625³ (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39713625.

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 95 ways as a sum of consecutive naturals, for example, 968605 + ... + 968645.

It is an arithmetic number, because the mean of its divisors is an integer number (895960).

Almost surely, 2^39713625 is an apocalyptic number.

39713625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39713625 is an abundant number, since it is smaller than the sum of its proper divisors (46298535).

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

39713625 is an equidigital number, since it uses as much as digits as its factorization.

39713625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 56 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 39713625 is about 6301.8747210652. The cubic root of 39713625 is about 341.1770765564.

Multiplying 39713625 by its product of digits (34020), we get a square (1351057522500 = 1162350²).

The spelling of 39713625 in words is "thirty-nine million, seven hundred thirteen thousand, six hundred twenty-five".