65825 has 6 divisors (see below), whose sum is σ = 81654. Its totient is φ = 52640.

The previous prime is 65809. The next prime is 65827. The reversal of 65825 is 52856.

65825 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 289 + 65536 = 17^2 + 256^2 .

It is not a de Polignac number, because 65825 - 2⁴ = 65809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65794 and 65803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65825.

It is not an unprimeable number, because it can be changed into a prime (65827) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1292 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (13609).

2⁶⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

65825 is a deficient number, since it is larger than the sum of its proper divisors (15829).

65825 is a wasteful number, since it uses less digits than its factorization.

65825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2638 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 65825 is about 256.5638322133. The cubic root of 65825 is about 40.3766505602.

The spelling of 65825 in words is "sixty-five thousand, eight hundred twenty-five".