92565 has 36 divisors (see below), whose sum is σ = 186732. Its totient is φ = 42240.

The previous prime is 92557. The next prime is 92567. The reversal of 92565 is 56529.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 39204 = 231^2 + 198^2 .

It is not a de Polignac number, because 92565 - 2³ = 92557 is a prime.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2700) is a multiple of the sum of its prime divisors (36).

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92565.

It is not an unprimeable number, because it can be changed into a prime (92567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5437 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁹²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

92565 is an abundant number, since it is smaller than the sum of its proper divisors (94167).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366).

92565 is a wasteful number, since it uses less digits than its factorization.

92565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 92565 is about 304.2449670907. The cubic root of 92565 is about 45.2357992943.

It can be divided in two parts, 9256 and 5, that added together give a cube (9261 = 21³).

The spelling of 92565 in words is "ninety-two thousand, five hundred sixty-five".