165977007 has 32 divisors (see below), whose sum is σ = 263122944. Its totient is φ = 91065600.

The previous prime is 165976997. The next prime is 165977017. The reversal of 165977007 is 700779561.

It is an interprime number because it is at equal distance from previous prime (165976997) and next prime (165977017).

It is not a de Polignac number, because 165977007 - 2¹⁸ = 165714863 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165977007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165977017) 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 in 31 ways as a sum of consecutive naturals, for example, 88257 + ... + 90117.

It is an arithmetic number, because the mean of its divisors is an integer number (8222592).

Almost surely, 2^165977007 is an apocalyptic number.

165977007 is a deficient number, since it is larger than the sum of its proper divisors (97145937).

165977007 is a wasteful number, since it uses less digits than its factorization.

165977007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039.

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 165977007 is about 12883.2063943725. The cubic root of 165977007 is about 549.5610900555.

The spelling of 165977007 in words is "one hundred sixty-five million, nine hundred seventy-seven thousand, seven".