3705 has 16 divisors (see below), whose sum is σ = 6720. Its totient is φ = 1728.

The previous prime is 3701. The next prime is 3709. The reversal of 3705 is 5073.

Added to its reverse (5073) it gives a triangular number (8778 = T₁₃₂).

It is an interprime number because it is at equal distance from previous prime (3701) and next prime (3709).

It is not a de Polignac number, because 3705 - 2² = 3701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

3705 is an undulating number in base 8.

It is a Curzon number.

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 3705.

It is not an unprimeable number, because it can be changed into a prime (3701) 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, 186 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

3705 is a deficient number, since it is larger than the sum of its proper divisors (3015).

3705 is a wasteful number, since it uses less digits than its factorization.

3705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 3705 is about 60.8687111741. The cubic root of 3705 is about 15.4737676305.

Subtracting from 3705 its product of nonzero digits (105), we obtain a square (3600 = 60²).

Adding to 3705 its reverse (5073), we get a palindrome (8778).

The spelling of 3705 in words is "three thousand, seven hundred five".