162966 has 16 divisors (see below), whose sum is σ = 329904. Its totient is φ = 53664.

The previous prime is 162947. The next prime is 162971. The reversal of 162966 is 669261.

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 162966.

It is an unprimeable number.

162966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (20619).

2¹⁶²⁹⁶⁶ is an apocalyptic number.

162966 is an abundant number, since it is smaller than the sum of its proper divisors (166938).

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

162966 is a wasteful number, since it uses less digits than its factorization.

162966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its digits is 3888, while the sum is 30.

The square root of 162966 is about 403.6904754883. The cubic root of 162966 is about 54.6217573528.

It can be divided in two parts, 162 and 966, that added together give a triangular number (1128 = T₄₇).

The spelling of 162966 in words is "one hundred sixty-two thousand, nine hundred sixty-six".