165075121 has 2 divisors, whose sum is σ = 165075122. Its totient is φ = 165075120.

The previous prime is 165075109. The next prime is 165075133. The reversal of 165075121 is 121570561.

It is a balanced prime because it is at equal distance from previous prime (165075109) and next prime (165075133).

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 32364721 = 11520^2 + 5689^2 .

It is a cyclic number.

It is not a de Polignac number, because 165075121 - 2¹⁷ = 164944049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165075121.

It is not a weakly prime, because it can be changed into another prime (165075101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82537560 + 82537561.

It is an arithmetic number, because the mean of its divisors is an integer number (82537561).

Almost surely, 2^165075121 is an apocalyptic number.

It is an amenable number.

165075121 is a deficient number, since it is larger than the sum of its proper divisors (1).

165075121 is an equidigital number, since it uses as much as digits as its factorization.

165075121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 165075121 is about 12848.1563268821. The cubic root of 165075121 is about 548.5638798170.

The spelling of 165075121 in words is "one hundred sixty-five million, seventy-five thousand, one hundred twenty-one".