162968 has 16 divisors (see below), whose sum is σ = 329280. Its totient is φ = 75168.

The previous prime is 162947. The next prime is 162971. The reversal of 162968 is 869261.

162968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162968.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2¹⁶²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

162968 is an abundant number, since it is smaller than the sum of its proper divisors (166312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162968 is a wasteful number, since it uses less digits than its factorization.

162968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 162968 is about 403.6929526261. The cubic root of 162968 is about 54.6219808004.

It can be divided in two parts, 162 and 968, that multiplied together give a square (156816 = 396²).

The spelling of 162968 in words is "one hundred sixty-two thousand, nine hundred sixty-eight".