39705 has 8 divisors (see below), whose sum is σ = 63552. Its totient is φ = 21168.

The previous prime is 39703. The next prime is 39709. The reversal of 39705 is 50793.

39705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 39705 - 2¹ = 39703 is a prime.

It is a Curzon number.

39705 is a lucky number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39705.

It is not an unprimeable number, because it can be changed into a prime (39703) 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, 1309 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (7944).

2³⁹⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

39705 is a deficient number, since it is larger than the sum of its proper divisors (23847).

39705 is a wasteful number, since it uses less digits than its factorization.

39705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 39705 is about 199.2611351970. The cubic root of 39705 is about 34.1152375837.

It can be divided in two parts, 39 and 705, that multiplied together give a triangular number (27495 = T₂₃₄).

The spelling of 39705 in words is "thirty-nine thousand, seven hundred five".