66225167 has 8 divisors (see below), whose sum is σ = 67359600. Its totient is φ = 65099584.

The previous prime is 66225163. The next prime is 66225169. The reversal of 66225167 is 76152266.

66225167 = 239² + 240² + ... + 596².

66225167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66225167 - 2² = 66225163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66225161) 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 7 ways as a sum of consecutive naturals, for example, 13853 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (8419950).

Almost surely, 2^66225167 is an apocalyptic number.

66225167 is a deficient number, since it is larger than the sum of its proper divisors (1134433).

66225167 is a wasteful number, since it uses less digits than its factorization.

66225167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425.

The product of its digits is 30240, while the sum is 35.

The square root of 66225167 is about 8137.8846760076. The cubic root of 66225167 is about 404.5830530938.

The spelling of 66225167 in words is "sixty-six million, two hundred twenty-five thousand, one hundred sixty-seven".