165325 has 12 divisors (see below), whose sum is σ = 217620. Its totient is φ = 124160.

The previous prime is 165317. The next prime is 165331. The reversal of 165325 is 523561.

165325 = 30² + 31² + ... + 80².

It is a happy number.

165325 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 6 ways, for example, as 2916 + 162409 = 54^2 + 403^2 .

It is not a de Polignac number, because 165325 - 2³ = 165317 is a prime.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 165296 and 165305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (18135).

2¹⁶⁵³²⁵ is an apocalyptic number.

It is an amenable number.

165325 is a deficient number, since it is larger than the sum of its proper divisors (52295).

165325 is a wasteful number, since it uses less digits than its factorization.

165325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 165325 is about 406.6017707782. The cubic root of 165325 is about 54.8840532625.

Adding to 165325 its reverse (523561), we get a palindrome (688886).

The spelling of 165325 in words is "one hundred sixty-five thousand, three hundred twenty-five".