164889 has 16 divisors (see below), whose sum is σ = 253440. Its totient is φ = 105840.

The previous prime is 164881. The next prime is 164893. The reversal of 164889 is 988461.

It is a happy number.

164889 is a `hidden beast` number, since 1 + 648 + 8 + 9 = 666.

It is not a de Polignac number, because 164889 - 2³ = 164881 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164889.

It is not an unprimeable number, because it can be changed into a prime (164881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹⁶⁴⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

164889 is a deficient number, since it is larger than the sum of its proper divisors (88551).

164889 is a wasteful number, since it uses less digits than its factorization.

164889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 164889 is about 406.0652656901. The cubic root of 164889 is about 54.8357635021.

The spelling of 164889 in words is "one hundred sixty-four thousand, eight hundred eighty-nine".