38613 has 8 divisors (see below), whose sum is σ = 52576. Its totient is φ = 25200.

The previous prime is 38611. The next prime is 38629. The reversal of 38613 is 31683.

38613 is nontrivially palindromic in base 14.

38613 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 38613 - 2¹ = 38611 is a prime.

It is the 197-th Hogben number.

It is a Duffinian number.

38613 is an undulating number in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38613.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38613.

It is not an unprimeable number, because it can be changed into a prime (38611) by changing a digit.

It is a nontrivial repunit in base 196.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (6572).

2³⁸⁶¹³ is an apocalyptic number.

It is an amenable number.

38613 is a deficient number, since it is larger than the sum of its proper divisors (13963).

38613 is a wasteful number, since it uses less digits than its factorization.

38613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

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

The square root of 38613 is about 196.5019083877. The cubic root of 38613 is about 33.7995705044.

The spelling of 38613 in words is "thirty-eight thousand, six hundred thirteen".