61165625 has 36 divisors (see below), whose sum is σ = 82080684. Its totient is φ = 45540000.

The previous prime is 61165607. The next prime is 61165627. The reversal of 61165625 is 52656116.

It can be written as a sum of positive squares in 6 ways, for example, as 38278969 + 22886656 = 6187^2 + 4784^2 .

It is not a de Polignac number, because 61165625 - 2⁶ = 61165561 is a prime.

It is a Duffinian number.

Its product of digits (10800) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 61165591 and 61165600.

It is not an unprimeable number, because it can be changed into a prime (61165627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1653107 + ... + 1653143.

It is an arithmetic number, because the mean of its divisors is an integer number (2280019).

Almost surely, 2^61165625 is an apocalyptic number.

It is an amenable number.

61165625 is a deficient number, since it is larger than the sum of its proper divisors (20915059).

61165625 is an frugal number, since it uses more digits than its factorization.

61165625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 61165625 is about 7820.8455425229. The cubic root of 61165625 is about 394.0056708538.

The spelling of 61165625 in words is "sixty-one million, one hundred sixty-five thousand, six hundred twenty-five".