165213329 has 2 divisors, whose sum is σ = 165213330. Its totient is φ = 165213328.

The previous prime is 165213311. The next prime is 165213331. The reversal of 165213329 is 923312561.

165213329 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., 147379600 + 17833729 = 12140^2 + 4223^2 .

It is a cyclic number.

It is not a de Polignac number, because 165213329 - 2¹⁶ = 165147793 is a prime.

Together with 165213331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 165213295 and 165213304.

It is not a weakly prime, because it can be changed into another prime (165213359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82606664 + 82606665.

It is an arithmetic number, because the mean of its divisors is an integer number (82606665).

Almost surely, 2^165213329 is an apocalyptic number.

It is an amenable number.

165213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

165213329 is an equidigital number, since it uses as much as digits as its factorization.

165213329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 32.

The square root of 165213329 is about 12853.5337164532. The cubic root of 165213329 is about 548.7169308791.

The spelling of 165213329 in words is "one hundred sixty-five million, two hundred thirteen thousand, three hundred twenty-nine".