164642125 has 32 divisors (see below), whose sum is σ = 218050560. Its totient is φ = 123768000.

The previous prime is 164642123. The next prime is 164642129. The reversal of 164642125 is 521246461.

It is a happy number.

164642125 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 164642125 - 2¹ = 164642123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164642123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429684 + ... + 430066.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 2^164642125 is an apocalyptic number.

It is an amenable number.

164642125 is a deficient number, since it is larger than the sum of its proper divisors (53408435).

164642125 is a wasteful number, since it uses less digits than its factorization.

164642125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 164642125 is about 12831.2947515050. The cubic root of 164642125 is about 548.0838277733.

Adding to 164642125 its reverse (521246461), we get a palindrome (685888586).

The spelling of 164642125 in words is "one hundred sixty-four million, six hundred forty-two thousand, one hundred twenty-five".