162565 has 16 divisors (see below), whose sum is σ = 218736. Its totient is φ = 115200.

The previous prime is 162563. The next prime is 162577. The reversal of 162565 is 565261.

162565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 91809 + 70756 = 303^2 + 266^2 .

It is not a de Polignac number, because 162565 - 2¹ = 162563 is a prime.

It is a Duffinian number.

162565 is a Rhonda number in base 6.

Its product of digits (1800) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹⁶²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

162565 is a deficient number, since it is larger than the sum of its proper divisors (56171).

162565 is a wasteful number, since it uses less digits than its factorization.

162565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its digits is 1800, while the sum is 25.

The square root of 162565 is about 403.1935019318. The cubic root of 162565 is about 54.5769191357.

It can be divided in two parts, 16256 and 5, that added together give a palindrome (16261).

The spelling of 162565 in words is "one hundred sixty-two thousand, five hundred sixty-five".