38759 has 8 divisors (see below), whose sum is σ = 45600. Its totient is φ = 32928.

The previous prime is 38749. The next prime is 38767. The reversal of 38759 is 95783.

It is a de Polignac number, because none of the positive numbers 2^k-38759 is a prime.

It is a Duffinian number.

Its product of digits (7560) is a multiple of the sum of its prime divisors (120).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38729) 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, 287 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

2³⁸⁷⁵⁹ is an apocalyptic number.

38759 is a deficient number, since it is larger than the sum of its proper divisors (6841).

38759 is an equidigital number, since it uses as much as digits as its factorization.

38759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 38759 is about 196.8730555460. The cubic root of 38759 is about 33.8421168898.

It can be divided in two parts, 38 and 759, that added together give a palindrome (797).

The spelling of 38759 in words is "thirty-eight thousand, seven hundred fifty-nine".