2197265625 has 39 divisors (see below), whose sum is σ = 3967285153. Its totient is φ = 1171875000.

The previous prime is 2197265579. The next prime is 2197265627. The reversal of 2197265625 is 5265627912.

The square root of 2197265625 is 46875.

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

2197265625 is a `hidden beast` number, since 2 + 19 + 7 + 2 + 6 + 5 + 625 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1243197081 + 954068544 = 35259^2 + 30888^2 .

It is not a de Polignac number, because 2197265625 - 2¹⁵ = 2197232857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (453600) is a multiple of the sum of its prime divisors (8).

It is not an unprimeable number, because it can be changed into a prime (2197265627) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 439453123 + ... + 439453127.

Almost surely, 2^2197265625 is an apocalyptic number.

2197265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2197265625 is the 46875-th square number.

2197265625 is the 23438-th centered octagonal number.

It is an amenable number.

2197265625 is a deficient number, since it is larger than the sum of its proper divisors (1770019528).

2197265625 is an frugal number, since it uses more digits than its factorization.

2197265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 8 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 2197265625 is about 1300.0523894074.

2197265625 divided by its sum of digits (45) gives a 11-th power (48828125 = 5¹¹).

The spelling of 2197265625 in words is "two billion, one hundred ninety-seven million, two hundred sixty-five thousand, six hundred twenty-five".