165508225 has 27 divisors (see below), whose sum is σ = 214649859. Its totient is φ = 126591600.

The previous prime is 165508223. The next prime is 165508237. The reversal of 165508225 is 522805561.

The square root of 165508225 is 12865.

It is a perfect power (a square), and thus also a powerful number.

165508225 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 only one way, i.e., 59582961 + 105925264 = 7719^2 + 10292^2 .

It is not a de Polignac number, because 165508225 - 2¹ = 165508223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165508223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1994034 + ... + 1994116.

Almost surely, 2^165508225 is an apocalyptic number.

165508225 is the 12865-th square number.

165508225 is the 6433-rd centered octagonal number.

It is an amenable number.

165508225 is a deficient number, since it is larger than the sum of its proper divisors (49141634).

165508225 is an frugal number, since it uses more digits than its factorization.

165508225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The cubic root of 165508225 is about 549.0432125578.

The spelling of 165508225 in words is "one hundred sixty-five million, five hundred eight thousand, two hundred twenty-five".