165984193 has 2 divisors, whose sum is σ = 165984194. Its totient is φ = 165984192.

The previous prime is 165984179. The next prime is 165984211. The reversal of 165984193 is 391489561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159466384 + 6517809 = 12628^2 + 2553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165984193 is a prime.

It is a super-2 number, since 2×165984193² = 55101504651722498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (165984173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82992096 + 82992097.

It is an arithmetic number, because the mean of its divisors is an integer number (82992097).

Almost surely, 2^165984193 is an apocalyptic number.

It is an amenable number.

165984193 is a deficient number, since it is larger than the sum of its proper divisors (1).

165984193 is an equidigital number, since it uses as much as digits as its factorization.

165984193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 46.

The square root of 165984193 is about 12883.4852815533. The cubic root of 165984193 is about 549.5690210516.

The spelling of 165984193 in words is "one hundred sixty-five million, nine hundred eighty-four thousand, one hundred ninety-three".