165979314 has 64 divisors (see below), whose sum is σ = 376675200. Its totient is φ = 54167616.

The previous prime is 165979291. The next prime is 165979321. The reversal of 165979314 is 413979561.

165979314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165979314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959332 + ... + 959504.

It is an arithmetic number, because the mean of its divisors is an integer number (5885550).

Almost surely, 2^165979314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165979314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188337600).

165979314 is an abundant number, since it is smaller than the sum of its proper divisors (210695886).

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

165979314 is a wasteful number, since it uses less digits than its factorization.

165979314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 165979314 is about 12883.2959292256. The cubic root of 165979314 is about 549.5636362547.

The spelling of 165979314 in words is "one hundred sixty-five million, nine hundred seventy-nine thousand, three hundred fourteen".