66207825 has 36 divisors (see below), whose sum is σ = 121494828. Its totient is φ = 34444800.

The previous prime is 66207821. The next prime is 66207833. The reversal of 66207825 is 52870266.

66207825 is a `hidden beast` number, since 6 + 620 + 7 + 8 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1710864 + 64496961 = 1308^2 + 8031^2 .

It is not a de Polignac number, because 66207825 - 2² = 66207821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66207825.

It is not an unprimeable number, because it can be changed into a prime (66207821) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5637 + ... + 12813.

Almost surely, 2^66207825 is an apocalyptic number.

It is an amenable number.

66207825 is a deficient number, since it is larger than the sum of its proper divisors (55287003).

66207825 is a wasteful number, since it uses less digits than its factorization.

66207825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7226 counting only the distinct ones).

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

The square root of 66207825 is about 8136.8190959367. The cubic root of 66207825 is about 404.5477347390.

The spelling of 66207825 in words is "sixty-six million, two hundred seven thousand, eight hundred twenty-five".