162912 has 24 divisors (see below), whose sum is σ = 427896. Its totient is φ = 54272.

The previous prime is 162907. The next prime is 162917. The reversal of 162912 is 219261.

It is an interprime number because it is at equal distance from previous prime (162907) and next prime (162917).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162917) by changing a digit.

162912 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 3 ways as a sum of consecutive naturals, for example, 753 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (17829).

2¹⁶²⁹¹² is an apocalyptic number.

162912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162912 is an abundant number, since it is smaller than the sum of its proper divisors (264984).

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

162912 is a wasteful number, since it uses less digits than its factorization.

162912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 162912 is about 403.6235870214. The cubic root of 162912 is about 54.6157235774.

The spelling of 162912 in words is "one hundred sixty-two thousand, nine hundred twelve".