165963 has 12 divisors (see below), whose sum is σ = 257640. Its totient is φ = 94752.

The previous prime is 165961. The next prime is 165983. The reversal of 165963 is 369561.

It is a happy number.

It is not a de Polignac number, because 165963 - 2¹ = 165961 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

165963 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 165963.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165963.

It is not an unprimeable number, because it can be changed into a prime (165961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 418 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (21470).

2¹⁶⁵⁹⁶³ is an apocalyptic number.

165963 is a deficient number, since it is larger than the sum of its proper divisors (91677).

165963 is a wasteful number, since it uses less digits than its factorization.

165963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

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

The square root of 165963 is about 407.3855667546. The cubic root of 165963 is about 54.9545630246.

It can be divided in two parts, 165 and 963, that added together give a triangular number (1128 = T₄₇).

The spelling of 165963 in words is "one hundred sixty-five thousand, nine hundred sixty-three".