165122381 has 2 divisors, whose sum is σ = 165122382. Its totient is φ = 165122380.

The previous prime is 165122333. The next prime is 165122389. The reversal of 165122381 is 183221561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120780100 + 44342281 = 10990^2 + 6659^2 .

It is an emirp because it is prime and its reverse (183221561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165122381 - 2²² = 160928077 is a prime.

It is a super-2 number, since 2×165122381² = 54530801414218322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165122389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82561190 + 82561191.

It is an arithmetic number, because the mean of its divisors is an integer number (82561191).

Almost surely, 2^165122381 is an apocalyptic number.

It is an amenable number.

165122381 is a deficient number, since it is larger than the sum of its proper divisors (1).

165122381 is an equidigital number, since it uses as much as digits as its factorization.

165122381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 29.

The square root of 165122381 is about 12849.9953696490. The cubic root of 165122381 is about 548.6162249860.

The spelling of 165122381 in words is "one hundred sixty-five million, one hundred twenty-two thousand, three hundred eighty-one".