38313 has 20 divisors (see below), whose sum is σ = 63888. Its totient is φ = 22680.

The previous prime is 38303. The next prime is 38317. The reversal of 38313 is 31383.

Added to its reverse (31383) it gives a square (69696 = 264²).

38313 is nontrivially palindromic in base 2.

38313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38313 - 2⁵ = 38281 is a prime.

38313 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 870 + ... + 912.

2³⁸³¹³ is an apocalyptic number.

38313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38313 is a deficient number, since it is larger than the sum of its proper divisors (25575).

38313 is a wasteful number, since it uses less digits than its factorization.

38313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 38313 is about 195.7370685384. The cubic root of 38313 is about 33.7118086510.

Adding to 38313 its reverse (31383), we get a palindrome (69696).

It can be divided in two parts, 38 and 313, that added together give a triangular number (351 = T₂₆).

The spelling of 38313 in words is "thirty-eight thousand, three hundred thirteen".