165765625 has 21 divisors (see below), whose sum is σ = 209235603. Its totient is φ = 131325000.

The previous prime is 165765539. The next prime is 165765631. The reversal of 165765625 is 526567561.

The square root of 165765625 is 12875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 145226601 + 20539024 = 12051^2 + 4532^2 .

It is not a de Polignac number, because 165765625 - 2¹³ = 165757433 is a prime.

It is a Duffinian number.

Its product of digits (378000) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1609324 + ... + 1609426.

Almost surely, 2^165765625 is an apocalyptic number.

165765625 is the 12875-th square number.

165765625 is the 6438-th centered octagonal number.

It is an amenable number.

165765625 is a deficient number, since it is larger than the sum of its proper divisors (43469978).

165765625 is an frugal number, since it uses more digits than its factorization.

165765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 108 counting only the distinct ones).

The product of its digits is 378000, while the sum is 43.

The cubic root of 165765625 is about 549.3276909143.

It can be divided in two parts, 16576 and 5625, that added together give a square (22201 = 149²).

The spelling of 165765625 in words is "one hundred sixty-five million, seven hundred sixty-five thousand, six hundred twenty-five".