164089 has 2 divisors, whose sum is σ = 164090. Its totient is φ = 164088.

The previous prime is 164071. The next prime is 164093. The reversal of 164089 is 980461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164025 + 64 = 405^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 164089 - 2⁵ = 164057 is a prime.

It is not a weakly prime, because it can be changed into another prime (164039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82044 + 82045.

It is an arithmetic number, because the mean of its divisors is an integer number (82045).

2¹⁶⁴⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

164089 is a deficient number, since it is larger than the sum of its proper divisors (1).

164089 is an equidigital number, since it uses as much as digits as its factorization.

164089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 164089 is about 405.0790046398. The cubic root of 164089 is about 54.7469365758.

The spelling of 164089 in words is "one hundred sixty-four thousand, eighty-nine".