163964 has 12 divisors (see below), whose sum is σ = 289800. Its totient is φ = 81168.

The previous prime is 163927. The next prime is 163973. The reversal of 163964 is 469361.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 602 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (24150).

2¹⁶³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

163964 is a deficient number, since it is larger than the sum of its proper divisors (125836).

163964 is a wasteful number, since it uses less digits than its factorization.

163964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 163964 is about 404.9246843550. The cubic root of 163964 is about 54.7330313059.

The spelling of 163964 in words is "one hundred sixty-three thousand, nine hundred sixty-four".