165657101 has 2 divisors, whose sum is σ = 165657102. Its totient is φ = 165657100.

The previous prime is 165657091. The next prime is 165657119. The reversal of 165657101 is 101756561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150062500 + 15594601 = 12250^2 + 3949^2 .

It is a cyclic number.

It is not a de Polignac number, because 165657101 - 2¹⁰ = 165656077 is a prime.

It is a super-2 number, since 2×165657101² = 54884550223448402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165657301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82828550 + 82828551.

It is an arithmetic number, because the mean of its divisors is an integer number (82828551).

Almost surely, 2^165657101 is an apocalyptic number.

It is an amenable number.

165657101 is a deficient number, since it is larger than the sum of its proper divisors (1).

165657101 is an equidigital number, since it uses as much as digits as its factorization.

165657101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 165657101 is about 12870.7847857075. The cubic root of 165657101 is about 549.2077861737.

The spelling of 165657101 in words is "one hundred sixty-five million, six hundred fifty-seven thousand, one hundred one".