165165225 has 48 divisors (see below), whose sum is σ = 285999552. Its totient is φ = 84015360.

The previous prime is 165165197. The next prime is 165165227. The reversal of 165165225 is 522561561.

It is not a de Polignac number, because 165165225 - 2¹⁷ = 165034153 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165165227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146514 + ... + 147636.

It is an arithmetic number, because the mean of its divisors is an integer number (5958324).

Almost surely, 2^165165225 is an apocalyptic number.

165165225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165165225 is a deficient number, since it is larger than the sum of its proper divisors (120834327).

165165225 is a wasteful number, since it uses less digits than its factorization.

165165225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1221 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 165165225 is about 12851.6623438371. The cubic root of 165165225 is about 548.6636703631.

The spelling of 165165225 in words is "one hundred sixty-five million, one hundred sixty-five thousand, two hundred twenty-five".