165025 has 24 divisors (see below), whose sum is σ = 249984. Its totient is φ = 105600.

The previous prime is 165001. The next prime is 165037. The reversal of 165025 is 520561.

165025 = 41² + 42² + ... + 82².

It is a happy number.

165025 is a nontrivial binomial coefficient, being equal to C(575, 2).

It is not a de Polignac number, because 165025 - 2⁹ = 164513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164993 and 165011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4005 + ... + 4045.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹⁶⁵⁰²⁵ is an apocalyptic number.

165025 is the 574-th triangular number.

165025 is the 192-nd centered nonagonal number.

It is an amenable number.

165025 is a deficient number, since it is larger than the sum of its proper divisors (84959).

165025 is a wasteful number, since it uses less digits than its factorization.

165025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 165025 is about 406.2326919390. The cubic root of 165025 is about 54.8508354888.

Adding to 165025 its reverse (520561), we get a palindrome (685586).

It can be divided in two parts, 16 and 5025, that added together give a square (5041 = 71²).

The spelling of 165025 in words is "one hundred sixty-five thousand, twenty-five".