38493 has 24 divisors (see below), whose sum is σ = 69888. Its totient is φ = 19872.

The previous prime is 38461. The next prime is 38501. The reversal of 38493 is 39483.

It is not a de Polignac number, because 38493 - 2⁵ = 38461 is a prime.

It is a super-2 number, since 2×38493² = 2963422098, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2³⁸⁴⁹³ is an apocalyptic number.

It is an amenable number.

38493 is a deficient number, since it is larger than the sum of its proper divisors (31395).

38493 is a wasteful number, since it uses less digits than its factorization.

38493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 38493 is about 196.1963302409. The cubic root of 38493 is about 33.7645205008.

Subtracting 38493 from its reverse (39483), we obtain a triangular number (990 = T₄₄).

The spelling of 38493 in words is "thirty-eight thousand, four hundred ninety-three".