164042307 has 32 divisors (see below), whose sum is σ = 285519360. Its totient is φ = 91769760.

The previous prime is 164042303. The next prime is 164042317. The reversal of 164042307 is 703240461.

It is not a de Polignac number, because 164042307 - 2² = 164042303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164042303) 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 31 ways as a sum of consecutive naturals, for example, 17383 + ... + 25104.

It is an arithmetic number, because the mean of its divisors is an integer number (8922480).

Almost surely, 2^164042307 is an apocalyptic number.

164042307 is a deficient number, since it is larger than the sum of its proper divisors (121477053).

164042307 is a wasteful number, since it uses less digits than its factorization.

164042307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42520 (or 42514 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 164042307 is about 12807.9001791863. The cubic root of 164042307 is about 547.4174317219.

Adding to 164042307 its reverse (703240461), we get a palindrome (867282768).

The spelling of 164042307 in words is "one hundred sixty-four million, forty-two thousand, three hundred seven".