165456325 has 24 divisors (see below), whose sum is σ = 220251528. Its totient is φ = 122849280.

The previous prime is 165456311. The next prime is 165456337. The reversal of 165456325 is 523654561.

It can be written as a sum of positive squares in 12 ways, for example, as 25281 + 165431044 = 159^2 + 12862^2 .

It is not a de Polignac number, because 165456325 - 2¹⁷ = 165325253 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

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, 28359 + ... + 33691.

It is an arithmetic number, because the mean of its divisors is an integer number (9177147).

Almost surely, 2^165456325 is an apocalyptic number.

It is an amenable number.

165456325 is a deficient number, since it is larger than the sum of its proper divisors (54795203).

165456325 is a wasteful number, since it uses less digits than its factorization.

165456325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5428 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 165456325 is about 12862.9827411841. The cubic root of 165456325 is about 548.9858169777.

It can be divided in two parts, 165 and 456325, that added together give a triangular number (456490 = T₉₅₅).

The spelling of 165456325 in words is "one hundred sixty-five million, four hundred fifty-six thousand, three hundred twenty-five".