165368007 has 32 divisors (see below), whose sum is σ = 282792960. Its totient is φ = 93549600.

The previous prime is 165367957. The next prime is 165368009. The reversal of 165368007 is 700863561.

It is not a de Polignac number, because 165368007 - 2¹⁰ = 165366983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165368009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14758 + ... + 23420.

It is an arithmetic number, because the mean of its divisors is an integer number (8837280).

Almost surely, 2^165368007 is an apocalyptic number.

165368007 is a deficient number, since it is larger than the sum of its proper divisors (117424953).

165368007 is a wasteful number, since it uses less digits than its factorization.

165368007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 165368007 is about 12859.5492533759. The cubic root of 165368007 is about 548.8881195766. Note that the first 3 decimals are identical.

The spelling of 165368007 in words is "one hundred sixty-five million, three hundred sixty-eight thousand, seven".