165605625 has 60 divisors (see below), whose sum is σ = 304590000. Its totient is φ = 86652000.

The previous prime is 165605621. The next prime is 165605633. The reversal of 165605625 is 526506561.

It is a happy number.

It is not a de Polignac number, because 165605625 - 2² = 165605621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165605625.

It is not an unprimeable number, because it can be changed into a prime (165605621) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 331626 + ... + 332124.

It is an arithmetic number, because the mean of its divisors is an integer number (5076500).

Almost surely, 2^165605625 is an apocalyptic number.

165605625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165605625 is a deficient number, since it is larger than the sum of its proper divisors (138984375).

165605625 is an equidigital number, since it uses as much as digits as its factorization.

165605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 165605625 is about 12868.7849076749. The cubic root of 165605625 is about 549.1508936557.

The spelling of 165605625 in words is "one hundred sixty-five million, six hundred five thousand, six hundred twenty-five".