164133 has 8 divisors (see below), whose sum is σ = 243200. Its totient is φ = 109404.

The previous prime is 164117. The next prime is 164147. The reversal of 164133 is 331461.

It is not a de Polignac number, because 164133 - 2⁴ = 164117 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 (164113) 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, 3013 + ... + 3066.

It is an arithmetic number, because the mean of its divisors is an integer number (30400).

2¹⁶⁴¹³³ is an apocalyptic number.

It is an amenable number.

164133 is a deficient number, since it is larger than the sum of its proper divisors (79067).

164133 is an equidigital number, since it uses as much as digits as its factorization.

164133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6082 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 164133 is about 405.1333113927. The cubic root of 164133 is about 54.7518295504.

Adding to 164133 its reverse (331461), we get a palindrome (495594).

It can be divided in two parts, 164 and 133, that multiplied together give a palindrome (21812).

The spelling of 164133 in words is "one hundred sixty-four thousand, one hundred thirty-three".