163965 has 16 divisors (see below), whose sum is σ = 278208. Its totient is φ = 82176.

The previous prime is 163927. The next prime is 163973. The reversal of 163965 is 569361.

It is a happy number.

163965 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 163965 - 2⁶ = 163901 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (17388).

2¹⁶³⁹⁶⁵ is an apocalyptic number.

163965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163965 is a deficient number, since it is larger than the sum of its proper divisors (114243).

163965 is a wasteful number, since it uses less digits than its factorization.

163965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668.

The product of its digits is 4860, while the sum is 30.

The square root of 163965 is about 404.9259191507. The cubic root of 163965 is about 54.7331425761.

It can be divided in two parts, 163 and 965, that added together give a triangular number (1128 = T₄₇).

The spelling of 163965 in words is "one hundred sixty-three thousand, nine hundred sixty-five".