165607312 has 20 divisors (see below), whose sum is σ = 345546460. Its totient is φ = 76434048.

The previous prime is 165607307. The next prime is 165607331. The reversal of 165607312 is 213706561.

It can be written as a sum of positive squares in 2 ways, for example, as 69488896 + 96118416 = 8336^2 + 9804^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397887 + ... + 398302.

It is an arithmetic number, because the mean of its divisors is an integer number (17277323).

Almost surely, 2^165607312 is an apocalyptic number.

It is an amenable number.

165607312 is an abundant number, since it is smaller than the sum of its proper divisors (179939148).

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

165607312 is a wasteful number, since it uses less digits than its factorization.

165607312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796210 (or 796204 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 165607312 is about 12868.8504537119. The cubic root of 165607312 is about 549.1527583557.

The spelling of 165607312 in words is "one hundred sixty-five million, six hundred seven thousand, three hundred twelve".