165135029 has 2 divisors, whose sum is σ = 165135030. Its totient is φ = 165135028.

The previous prime is 165135013. The next prime is 165135037. The reversal of 165135029 is 920531561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101103025 + 64032004 = 10055^2 + 8002^2 .

It is a cyclic number.

It is not a de Polignac number, because 165135029 - 2⁴ = 165135013 is a prime.

It is a Chen prime.

It is equal to p_9246083 and since 165135029 and 9246083 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 165134986 and 165135004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165135629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82567514 + 82567515.

It is an arithmetic number, because the mean of its divisors is an integer number (82567515).

Almost surely, 2^165135029 is an apocalyptic number.

It is an amenable number.

165135029 is a deficient number, since it is larger than the sum of its proper divisors (1).

165135029 is an equidigital number, since it uses as much as digits as its factorization.

165135029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 165135029 is about 12850.4875004803. The cubic root of 165135029 is about 548.6302322147.

The spelling of 165135029 in words is "one hundred sixty-five million, one hundred thirty-five thousand, twenty-nine".