38345 has 4 divisors (see below), whose sum is σ = 46020. Its totient is φ = 30672.

The previous prime is 38333. The next prime is 38351. The reversal of 38345 is 54383.

38345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 11449 = 164^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 38345 - 2⁴ = 38329 is a prime.

It is a d-powerful number, because it can be written as 3² + 8⁵ + 3⁷ + 4⁴ + 5⁵ .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 38345.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3830 + ... + 3839.

It is an arithmetic number, because the mean of its divisors is an integer number (11505).

2³⁸³⁴⁵ is an apocalyptic number.

It is an amenable number.

38345 is a deficient number, since it is larger than the sum of its proper divisors (7675).

38345 is an equidigital number, since it uses as much as digits as its factorization.

38345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674.

The product of its digits is 1440, while the sum is 23.

The square root of 38345 is about 195.8187937865. The cubic root of 38345 is about 33.7211916948.

It can be divided in two parts, 38 and 345, that added together give a palindrome (383).

The spelling of 38345 in words is "thirty-eight thousand, three hundred forty-five".