165105361 has 2 divisors, whose sum is σ = 165105362. Its totient is φ = 165105360.

The previous prime is 165105331. The next prime is 165105373. The reversal of 165105361 is 163501561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158760000 + 6345361 = 12600^2 + 2519^2 .

It is a cyclic number.

It is not a de Polignac number, because 165105361 - 2⁷ = 165105233 is a prime.

It is not a weakly prime, because it can be changed into another prime (165105331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82552680 + 82552681.

It is an arithmetic number, because the mean of its divisors is an integer number (82552681).

Almost surely, 2^165105361 is an apocalyptic number.

It is an amenable number.

165105361 is a deficient number, since it is larger than the sum of its proper divisors (1).

165105361 is an equidigital number, since it uses as much as digits as its factorization.

165105361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 165105361 is about 12849.3330955346. Note that the first 3 decimals coincide. The cubic root of 165105361 is about 548.5973747875.

The spelling of 165105361 in words is "one hundred sixty-five million, one hundred five thousand, three hundred sixty-one".