83613 has 8 divisors (see below), whose sum is σ = 114048. Its totient is φ = 54464.

The previous prime is 83609. The next prime is 83617. The reversal of 83613 is 31638.

It is an interprime number because it is at equal distance from previous prime (83609) and next prime (83617).

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 83613 - 2² = 83609 is a prime.

It is a super-2 number, since 2×83613² = 13982267538, which contains 22 as substring.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2⁸³⁶¹³ is an apocalyptic number.

It is an amenable number.

83613 is a deficient number, since it is larger than the sum of its proper divisors (30435).

83613 is a wasteful number, since it uses less digits than its factorization.

83613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its digits is 432, while the sum is 21.

The square root of 83613 is about 289.1591257422. The cubic root of 83613 is about 43.7278309452.

It can be divided in two parts, 83 and 613, that added together give a palindrome (696).

The spelling of 83613 in words is "eighty-three thousand, six hundred thirteen".