65313 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 41760.

The previous prime is 65309. The next prime is 65323. The reversal of 65313 is 31356.

65313 is a `hidden beast` number, since 653 + 13 = 666.

It is not a de Polignac number, because 65313 - 2² = 65309 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁶⁵³¹³ is an apocalyptic number.

It is an amenable number.

65313 is a deficient number, since it is larger than the sum of its proper divisors (35487).

65313 is a wasteful number, since it uses less digits than its factorization.

65313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 65313 is about 255.5640819834. The cubic root of 65313 is about 40.2716920739.

Adding to 65313 its reverse (31356), we get a palindrome (96669).

It can be divided in two parts, 653 and 13, that added together give a palindrome (666).

The spelling of 65313 in words is "sixty-five thousand, three hundred thirteen".