65864 has 8 divisors (see below), whose sum is σ = 123510. Its totient is φ = 32928.

The previous prime is 65851. The next prime is 65867. The reversal of 65864 is 46856.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 3364 = 250^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65864.

It is not an unprimeable number, because it can be changed into a prime (65867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4109 + ... + 4124.

2⁶⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

65864 is a deficient number, since it is larger than the sum of its proper divisors (57646).

65864 is a wasteful number, since it uses less digits than its factorization.

65864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8235 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 65864 is about 256.6398254363. The cubic root of 65864 is about 40.3846231060.

It can be divided in two parts, 65 and 864, that added together give a palindrome (929).

The spelling of 65864 in words is "sixty-five thousand, eight hundred sixty-four".