20085165 has 48 divisors (see below), whose sum is σ = 36830976. Its totient is φ = 10497600.

The previous prime is 20085161. The next prime is 20085173. The reversal of 20085165 is 56158002.

It is not a de Polignac number, because 20085165 - 2² = 20085161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73980 + ... + 74250.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 2^20085165 is an apocalyptic number.

It is an amenable number.

20085165 is a deficient number, since it is larger than the sum of its proper divisors (16745811).

20085165 is an equidigital number, since it uses as much as digits as its factorization.

20085165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 20085165 is about 4481.6475765058. The cubic root of 20085165 is about 271.8265050246.

It can be divided in two parts, 20085 and 165, that multiplied together give a triangular number (3314025 = T₂₅₇₄).

The spelling of 20085165 in words is "twenty million, eighty-five thousand, one hundred sixty-five".