39345 has 16 divisors (see below), whose sum is σ = 65472. Its totient is φ = 20160.

The previous prime is 39343. The next prime is 39359. The reversal of 39345 is 54393.

39345 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 39345 - 2¹ = 39343 is a prime.

It is a Curzon number.

39345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (39341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2³⁹³⁴⁵ is an apocalyptic number.

It is an amenable number.

39345 is a deficient number, since it is larger than the sum of its proper divisors (26127).

39345 is a wasteful number, since it uses less digits than its factorization.

39345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 1620, while the sum is 24.

The square root of 39345 is about 198.3557410311. The cubic root of 39345 is about 34.0118182675.

The spelling of 39345 in words is "thirty-nine thousand, three hundred forty-five".