66182625 has 48 divisors (see below), whose sum is σ = 120828240. Its totient is φ = 34848000.

The previous prime is 66182617. The next prime is 66182629. The reversal of 66182625 is 52628166.

It can be written as a sum of positive squares in 8 ways, for example, as 21986721 + 44195904 = 4689^2 + 6648^2 .

It is not a de Polignac number, because 66182625 - 2³ = 66182617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66182625.

It is not an unprimeable number, because it can be changed into a prime (66182629) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 99795 + ... + 100455.

It is an arithmetic number, because the mean of its divisors is an integer number (2517255).

Almost surely, 2^66182625 is an apocalyptic number.

It is an amenable number.

66182625 is a deficient number, since it is larger than the sum of its proper divisors (54645615).

66182625 is a wasteful number, since it uses less digits than its factorization.

66182625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 758 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 66182625 is about 8135.2704318910. The cubic root of 66182625 is about 404.4964019517.

The spelling of 66182625 in words is "sixty-six million, one hundred eighty-two thousand, six hundred twenty-five".