165305085 has 32 divisors (see below), whose sum is σ = 296341632. Its totient is φ = 77978880.

The previous prime is 165305083. The next prime is 165305089. The reversal of 165305085 is 580503561.

It is not a de Polignac number, because 165305085 - 2¹ = 165305083 is a prime.

It is a super-2 number, since 2×165305085² = 54651542253714450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165305083) 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, 7434 + ... + 19643.

It is an arithmetic number, because the mean of its divisors is an integer number (9260676).

Almost surely, 2^165305085 is an apocalyptic number.

165305085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165305085 is a deficient number, since it is larger than the sum of its proper divisors (131036547).

165305085 is a wasteful number, since it uses less digits than its factorization.

165305085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27133.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 165305085 is about 12857.1025118415. The cubic root of 165305085 is about 548.8184940180.

It can be divided in two parts, 165 and 305085, that multiplied together give a square (50339025 = 7095²).

The spelling of 165305085 in words is "one hundred sixty-five million, three hundred five thousand, eighty-five".