165248257 has 2 divisors, whose sum is σ = 165248258. Its totient is φ = 165248256.

The previous prime is 165248233. The next prime is 165248267. The reversal of 165248257 is 752842561.

165248257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116122176 + 49126081 = 10776^2 + 7009^2 .

It is a cyclic number.

It is not a de Polignac number, because 165248257 - 2¹⁵ = 165215489 is a prime.

It is not a weakly prime, because it can be changed into another prime (165248267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82624128 + 82624129.

It is an arithmetic number, because the mean of its divisors is an integer number (82624129).

Almost surely, 2^165248257 is an apocalyptic number.

It is an amenable number.

165248257 is a deficient number, since it is larger than the sum of its proper divisors (1).

165248257 is an equidigital number, since it uses as much as digits as its factorization.

165248257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 134400, while the sum is 40.

The square root of 165248257 is about 12854.8923371610. The cubic root of 165248257 is about 548.7555965134.

The spelling of 165248257 in words is "one hundred sixty-five million, two hundred forty-eight thousand, two hundred fifty-seven".