164131 has 8 divisors (see below), whose sum is σ = 183744. Its totient is φ = 145320.

The previous prime is 164117. The next prime is 164147. The reversal of 164131 is 131461.

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

It is a cyclic number.

It is not a de Polignac number, because 164131 - 2¹⁵ = 131363 is a prime.

It is a super-2 number, since 2×164131² = 53877970322, which contains 22 as substring.

164131 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (164191) 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, 300 + ... + 646.

It is an arithmetic number, because the mean of its divisors is an integer number (22968).

2¹⁶⁴¹³¹ is an apocalyptic number.

164131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164131 is a deficient number, since it is larger than the sum of its proper divisors (19613).

164131 is a wasteful number, since it uses less digits than its factorization.

164131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its digits is 72, while the sum is 16.

The square root of 164131 is about 405.1308430618. The cubic root of 164131 is about 54.7516071615.

Adding to 164131 its reverse (131461), we get a palindrome (295592).

The spelling of 164131 in words is "one hundred sixty-four thousand, one hundred thirty-one".