3975 has 12 divisors (see below), whose sum is σ = 6696. Its totient is φ = 2080.

The previous prime is 3967. The next prime is 3989. The reversal of 3975 is 5793.

It is not a de Polignac number, because 3975 - 2³ = 3967 is a prime.

3975 is a lucky number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

3975 is a deficient number, since it is larger than the sum of its proper divisors (2721).

3975 is a wasteful number, since it uses less digits than its factorization.

3975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 61 counting only the distinct ones).

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

The square root of 3975 is about 63.0476010646. The cubic root of 3975 is about 15.8408705266.

The spelling of 3975 in words is "three thousand, nine hundred seventy-five".