164264007 has 16 divisors (see below), whose sum is σ = 223020000. Its totient is φ = 107526144.

The previous prime is 164264003. The next prime is 164264021. The reversal of 164264007 is 700462461.

164264007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164264007 - 2² = 164264003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164264003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37719 + ... + 41847.

It is an arithmetic number, because the mean of its divisors is an integer number (13938750).

Almost surely, 2^164264007 is an apocalyptic number.

164264007 is a deficient number, since it is larger than the sum of its proper divisors (58755993).

164264007 is a wasteful number, since it uses less digits than its factorization.

164264007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 164264007 is about 12816.5520714426. The cubic root of 164264007 is about 547.6639287280.

The spelling of 164264007 in words is "one hundred sixty-four million, two hundred sixty-four thousand, seven".