165125 has 8 divisors (see below), whose sum is σ = 206232. Its totient is φ = 132000.

The previous prime is 165103. The next prime is 165133. The reversal of 165125 is 521561.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 164836 = 17^2 + 406^2 .

It is a de Polignac number, because none of the positive numbers 2^k-165125 is a prime.

It is a super-3 number, since 3×165125³ = 13507026333984375, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165097 and 165106.

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 165125.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (25779).

2¹⁶⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

165125 is a deficient number, since it is larger than the sum of its proper divisors (41107).

165125 is an equidigital number, since it uses as much as digits as its factorization.

165125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1326 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 165125 is about 406.3557554656. The cubic root of 165125 is about 54.8619125498.

Adding to 165125 its reverse (521561), we get a palindrome (686686).

The spelling of 165125 in words is "one hundred sixty-five thousand, one hundred twenty-five".