168964 has 12 divisors (see below), whose sum is σ = 301644. Its totient is φ = 82784.

The previous prime is 168943. The next prime is 168977. The reversal of 168964 is 469861.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 66564 = 320^2 + 258^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2¹⁶⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

168964 is a deficient number, since it is larger than the sum of its proper divisors (132680).

168964 is a wasteful number, since it uses less digits than its factorization.

168964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 168964 is about 411.0523081069. The cubic root of 168964 is about 55.2838221007.

It can be divided in two parts, 16896 and 4, that added together give a square (16900 = 130²).

The spelling of 168964 in words is "one hundred sixty-eight thousand, nine hundred sixty-four".