165667992 has 256 divisors, whose sum is σ = 547430400. Its totient is φ = 40642560.

The previous prime is 165667967. The next prime is 165668017. The reversal of 165667992 is 299766561.

It is an interprime number because it is at equal distance from previous prime (165667967) and next prime (165668017).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1224720) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333317 + ... + 2333387.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 2^165667992 is an apocalyptic number.

165667992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165667992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273715200).

165667992 is an abundant number, since it is smaller than the sum of its proper divisors (381762408).

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

165667992 is a wasteful number, since it uses less digits than its factorization.

165667992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 165667992 is about 12871.2078687278. The cubic root of 165667992 is about 549.2198216593.

The spelling of 165667992 in words is "one hundred sixty-five million, six hundred sixty-seven thousand, nine hundred ninety-two".