165165825 has 24 divisors (see below), whose sum is σ = 297900576. Its totient is φ = 80080000.

The previous prime is 165165823. The next prime is 165165851. The reversal of 165165825 is 528561561.

It is not a de Polignac number, because 165165825 - 2¹ = 165165823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165165823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99276 + ... + 100925.

It is an arithmetic number, because the mean of its divisors is an integer number (12412524).

Almost surely, 2^165165825 is an apocalyptic number.

165165825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165165825 is a deficient number, since it is larger than the sum of its proper divisors (132734751).

165165825 is a wasteful number, since it uses less digits than its factorization.

165165825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200225 (or 200220 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 165165825 is about 12851.6856870996. The cubic root of 165165825 is about 548.6643347439.

It can be divided in two parts, 1651 and 65825, that added together give a palindrome (67476).

The spelling of 165165825 in words is "one hundred sixty-five million, one hundred sixty-five thousand, eight hundred twenty-five".