65205725 has 24 divisors (see below), whose sum is σ = 87489192. Its totient is φ = 47923200.

The previous prime is 65205719. The next prime is 65205757. The reversal of 65205725 is 52750256.

It can be written as a sum of positive squares in 12 ways, for example, as 36711481 + 28494244 = 6059^2 + 5338^2 .

It is not a de Polignac number, because 65205725 - 2⁶ = 65205661 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65205691 and 65205700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101405 + ... + 102045.

It is an arithmetic number, because the mean of its divisors is an integer number (3645383).

Almost surely, 2^65205725 is an apocalyptic number.

65205725 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65205725 is a deficient number, since it is larger than the sum of its proper divisors (22283467).

65205725 is a wasteful number, since it uses less digits than its factorization.

65205725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 65205725 is about 8075.0061919481. The cubic root of 65205725 is about 402.4963156948.

The spelling of 65205725 in words is "sixty-five million, two hundred five thousand, seven hundred twenty-five".