164917 has 8 divisors (see below), whose sum is σ = 178200. Its totient is φ = 152064.

The previous prime is 164911. The next prime is 164953. The reversal of 164917 is 719461.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 130321 = 186^2 + 361^2 .

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 164917 - 2⁷ = 164789 is a prime.

It is a Duffinian number.

164917 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2¹⁶⁴⁹¹⁷ is an apocalyptic number.

164917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164917 is a deficient number, since it is larger than the sum of its proper divisors (13283).

164917 is a wasteful number, since it uses less digits than its factorization.

164917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

The product of its digits is 1512, while the sum is 28.

The square root of 164917 is about 406.0997414429. The cubic root of 164917 is about 54.8388672355.

It can be divided in two parts, 164 and 917, that added together give a triangular number (1081 = T₄₆).

The spelling of 164917 in words is "one hundred sixty-four thousand, nine hundred seventeen".