38713 has 2 divisors, whose sum is σ = 38714. Its totient is φ = 38712.

The previous prime is 38711. The next prime is 38723. The reversal of 38713 is 31783.

38713 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 1849 = 192^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 38713 - 2¹ = 38711 is a prime.

Together with 38711, it forms a pair of twin primes.

38713 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (38711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19356 + 19357.

It is an arithmetic number, because the mean of its divisors is an integer number (19357).

2³⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

38713 is a deficient number, since it is larger than the sum of its proper divisors (1).

38713 is an equidigital number, since it uses as much as digits as its factorization.

38713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 38713 is about 196.7561943116. The cubic root of 38713 is about 33.8287234101.

It can be divided in two parts, 387 and 13, that added together give a square (400 = 20²).

The spelling of 38713 in words is "thirty-eight thousand, seven hundred thirteen".