162167 has 4 divisors (see below), whose sum is σ = 163056. Its totient is φ = 161280.

The previous prime is 162143. The next prime is 162209. The reversal of 162167 is 761261.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 162167 - 2⁸ = 161911 is a prime.

It is a Duffinian number.

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 162167.

It is not an unprimeable number, because it can be changed into a prime (161167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (40764).

2¹⁶²¹⁶⁷ is an apocalyptic number.

162167 is a deficient number, since it is larger than the sum of its proper divisors (889).

162167 is an equidigital number, since it uses as much as digits as its factorization.

162167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its digits is 504, while the sum is 23.

The square root of 162167 is about 402.6996399303. The cubic root of 162167 is about 54.5323433975.

The spelling of 162167 in words is "one hundred sixty-two thousand, one hundred sixty-seven".