163200625 has 45 divisors (see below), whose sum is σ = 240525351. Its totient is φ = 110376000.

The previous prime is 163200619. The next prime is 163200637. The reversal of 163200625 is 526002361.

The square root of 163200625 is 12775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 115756081 + 47444544 = 10759^2 + 6888^2 .

It is not a de Polignac number, because 163200625 - 2¹⁵ = 163167857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 163200625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2235589 + ... + 2235661.

Almost surely, 2^163200625 is an apocalyptic number.

163200625 is the 12775-th square number.

163200625 is the 6388-th centered octagonal number.

It is an amenable number.

163200625 is a deficient number, since it is larger than the sum of its proper divisors (77324726).

163200625 is an frugal number, since it uses more digits than its factorization.

163200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 163200625 is about 546.4795808269.

Multiplying 163200625 by its sum of digits (25), we get a square (4080015625 = 63875²).

163200625 divided by its sum of digits (25) gives a square (6528025 = 2555²).

Adding to 163200625 its reverse (526002361), we get a palindrome (689202986).

The spelling of 163200625 in words is "one hundred sixty-three million, two hundred thousand, six hundred twenty-five".