58905625 has 15 divisors (see below), whose sum is σ = 73849017. Its totient is φ = 46971000.

The previous prime is 58905619. The next prime is 58905653. The reversal of 58905625 is 52650985.

The square root of 58905625 is 7675.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 4618201 + 54287424 = 2149^2 + 7368^2 .

It is not a de Polignac number, because 58905625 - 2⁹ = 58905113 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 191722 + ... + 192028.

Almost surely, 2^58905625 is an apocalyptic number.

58905625 is the 7675-th square number.

58905625 is the 3838-th centered octagonal number.

It is an amenable number.

58905625 is a deficient number, since it is larger than the sum of its proper divisors (14943392).

58905625 is an frugal number, since it uses more digits than its factorization.

58905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The cubic root of 58905625 is about 389.0919593237.

The spelling of 58905625 in words is "fifty-eight million, nine hundred five thousand, six hundred twenty-five".