162963 has 12 divisors (see below), whose sum is σ = 248040. Its totient is φ = 102816.

The previous prime is 162947. The next prime is 162971. The reversal of 162963 is 369261.

It is a happy number.

162963 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 162963 - 2⁴ = 162947 is a prime.

162963 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162963.

It is not an unprimeable number, because it can be changed into a prime (162973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (20670).

2¹⁶²⁹⁶³ is an apocalyptic number.

162963 is a deficient number, since it is larger than the sum of its proper divisors (85077).

162963 is a wasteful number, since it uses less digits than its factorization.

162963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 162963 is about 403.6867597532. The cubic root of 162963 is about 54.6214221780.

The spelling of 162963 in words is "one hundred sixty-two thousand, nine hundred sixty-three".