61582225 has 24 divisors (see below), whose sum is σ = 79872120. Its totient is φ = 47096000.

The previous prime is 61582217. The next prime is 61582229. The reversal of 61582225 is 52228516.

It can be written as a sum of positive squares in 12 ways, for example, as 19501056 + 42081169 = 4416^2 + 6487^2 .

It is not a de Polignac number, because 61582225 - 2³ = 61582217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61582229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609675 + ... + 609775.

It is an arithmetic number, because the mean of its divisors is an integer number (3328005).

Almost surely, 2^61582225 is an apocalyptic number.

It is an amenable number.

61582225 is a deficient number, since it is larger than the sum of its proper divisors (18289895).

61582225 is an equidigital number, since it uses as much as digits as its factorization.

61582225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 135 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 61582225 is about 7847.4342940862. The cubic root of 61582225 is about 394.8981738275.

The spelling of 61582225 in words is "sixty-one million, five hundred eighty-two thousand, two hundred twenty-five".