164507 has 8 divisors (see below), whose sum is σ = 191232. Its totient is φ = 138600.

The previous prime is 164503. The next prime is 164513. The reversal of 164507 is 705461.

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

It is not a de Polignac number, because 164507 - 2² = 164503 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164507.

It is not an unprimeable number, because it can be changed into a prime (164503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (23904).

2¹⁶⁴⁵⁰⁷ is an apocalyptic number.

164507 is a deficient number, since it is larger than the sum of its proper divisors (26725).

164507 is an equidigital number, since it uses as much as digits as its factorization.

164507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 164507 is about 405.5946252109. The cubic root of 164507 is about 54.7933845709.

Adding to 164507 its reverse (705461), we get a palindrome (869968).

The spelling of 164507 in words is "one hundred sixty-four thousand, five hundred seven".