39795 has 16 divisors (see below), whose sum is σ = 72960. Its totient is φ = 18144.

The previous prime is 39791. The next prime is 39799. The reversal of 39795 is 59793.

39795 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39791) and next prime (39799).

It is not a de Polignac number, because 39795 - 2² = 39791 is a prime.

It is an Ulam number.

39795 is strictly pandigital in base 6.

39795 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (39791) 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, 85 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

2³⁹⁷⁹⁵ is an apocalyptic number.

39795 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39795 is a deficient number, since it is larger than the sum of its proper divisors (33165).

39795 is a wasteful number, since it uses less digits than its factorization.

39795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394.

The product of its digits is 8505, while the sum is 33.

The square root of 39795 is about 199.4868416713. The cubic root of 39795 is about 34.1409946622.

The spelling of 39795 in words is "thirty-nine thousand, seven hundred ninety-five".