165206257 has 2 divisors, whose sum is σ = 165206258. Its totient is φ = 165206256.

The previous prime is 165206219. The next prime is 165206267. The reversal of 165206257 is 752602561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100821681 + 64384576 = 10041^2 + 8024^2 .

It is an emirp because it is prime and its reverse (752602561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165206257 - 2²³ = 156817649 is a prime.

It is not a weakly prime, because it can be changed into another prime (165206267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82603128 + 82603129.

It is an arithmetic number, because the mean of its divisors is an integer number (82603129).

Almost surely, 2^165206257 is an apocalyptic number.

It is an amenable number.

165206257 is a deficient number, since it is larger than the sum of its proper divisors (1).

165206257 is an equidigital number, since it uses as much as digits as its factorization.

165206257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 165206257 is about 12853.2586140636. The cubic root of 165206257 is about 548.7091014432.

The spelling of 165206257 in words is "one hundred sixty-five million, two hundred six thousand, two hundred fifty-seven".