65813 has 8 divisors (see below), whose sum is σ = 74496. Its totient is φ = 57600.

The previous prime is 65809. The next prime is 65827. The reversal of 65813 is 31856.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65813 - 2² = 65809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (9312).

2⁶⁵⁸¹³ is an apocalyptic number.

It is an amenable number.

65813 is a deficient number, since it is larger than the sum of its proper divisors (8683).

65813 is a wasteful number, since it uses less digits than its factorization.

65813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its digits is 720, while the sum is 23.

The square root of 65813 is about 256.5404451544. The cubic root of 65813 is about 40.3741968356.

It can be divided in two parts, 65 and 813, that added together give a palindrome (878).

The spelling of 65813 in words is "sixty-five thousand, eight hundred thirteen".