65613 has 4 divisors (see below), whose sum is σ = 87488. Its totient is φ = 43740.

The previous prime is 65609. The next prime is 65617. The reversal of 65613 is 31656.

65613 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (65609) and next prime (65617).

It is not a de Polignac number, because 65613 - 2² = 65609 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65617) 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 3 ways as a sum of consecutive naturals, for example, 10933 + ... + 10938.

It is an arithmetic number, because the mean of its divisors is an integer number (21872).

2⁶⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

65613 is a deficient number, since it is larger than the sum of its proper divisors (21875).

65613 is a wasteful number, since it uses less digits than its factorization.

65613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21874.

The product of its digits is 540, while the sum is 21.

The square root of 65613 is about 256.1503464764. The cubic root of 65613 is about 40.3332574428. Note that the first 3 decimals are identical.

It can be divided in two parts, 6561 and 3, that multiplied together give a 9-th power (19683 = 3⁹).

The spelling of 65613 in words is "sixty-five thousand, six hundred thirteen".