162082167 has 32 divisors (see below), whose sum is σ = 243425280. Its totient is φ = 95247360.

The previous prime is 162082159. The next prime is 162082171. The reversal of 162082167 is 761280261.

It is not a de Polignac number, because 162082167 - 2³ = 162082159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162082187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94663 + ... + 96359.

It is an arithmetic number, because the mean of its divisors is an integer number (7607040).

Almost surely, 2^162082167 is an apocalyptic number.

162082167 is a deficient number, since it is larger than the sum of its proper divisors (81343113).

162082167 is a wasteful number, since it uses less digits than its factorization.

162082167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 162082167 is about 12731.1494767755. The cubic root of 162082167 is about 545.2283273014.

The spelling of 162082167 in words is "one hundred sixty-two million, eighty-two thousand, one hundred sixty-seven".