39338 has 16 divisors (see below), whose sum is σ = 68040. Its totient is φ = 16896.

The previous prime is 39323. The next prime is 39341. The reversal of 39338 is 83393.

39338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26569 + 12769 = 163^2 + 113^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 3⁷ + 9 + 3⁷ + 3⁷ + 8⁵ .

It is a plaindrome in base 7 and base 16.

It is a zygodrome in base 16.

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 39338.

It is an unprimeable number.

39338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398 + ... + 486.

2³⁹³³⁸ is an apocalyptic number.

39338 is a deficient number, since it is larger than the sum of its proper divisors (28702).

39338 is a wasteful number, since it uses less digits than its factorization.

39338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

The product of its digits is 1944, while the sum is 26.

The square root of 39338 is about 198.3380951809. The cubic root of 39338 is about 34.0098010960.

The spelling of 39338 in words is "thirty-nine thousand, three hundred thirty-eight".