164097 has 6 divisors (see below), whose sum is σ = 237042. Its totient is φ = 109392.

The previous prime is 164093. The next prime is 164113. The reversal of 164097 is 790461.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 16641 = 384^2 + 129^2 .

It is not a de Polignac number, because 164097 - 2² = 164093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164097.

It is not an unprimeable number, because it can be changed into a prime (164093) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9108 + ... + 9125.

It is an arithmetic number, because the mean of its divisors is an integer number (39507).

2¹⁶⁴⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

164097 is a deficient number, since it is larger than the sum of its proper divisors (72945).

164097 is a wasteful number, since it uses less digits than its factorization.

164097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18239 (or 18236 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 164097 is about 405.0888791364. The cubic root of 164097 is about 54.7478262726.

The spelling of 164097 in words is "one hundred sixty-four thousand, ninety-seven".