164115 has 24 divisors (see below), whose sum is σ = 325728. Its totient is φ = 74880.

The previous prime is 164113. The next prime is 164117. The reversal of 164115 is 511461.

It is an interprime number because it is at equal distance from previous prime (164113) and next prime (164117).

It is not a de Polignac number, because 164115 - 2¹ = 164113 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164115.

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 23 ways as a sum of consecutive naturals, for example, 55 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (13572).

2¹⁶⁴¹¹⁵ is an apocalyptic number.

164115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164115 is a deficient number, since it is larger than the sum of its proper divisors (161613).

164115 is a wasteful number, since it uses less digits than its factorization.

164115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 536 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 164115 is about 405.1110958737. Note that the first 3 decimals coincide. The cubic root of 164115 is about 54.7498279847.

Adding to 164115 its reverse (511461), we get a palindrome (675576).

The spelling of 164115 in words is "one hundred sixty-four thousand, one hundred fifteen".