3970 has 8 divisors (see below), whose sum is σ = 7164. Its totient is φ = 1584.

The previous prime is 3967. The next prime is 3989. The reversal of 3970 is 793.

It is a happy number.

3970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 63²+1.

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 1 = 63^2 + 1^2 .

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

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 208.

2³⁹⁷⁰ is an apocalyptic number.

3970 is a deficient number, since it is larger than the sum of its proper divisors (3194).

3970 is a wasteful number, since it uses less digits than its factorization.

3970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 3970 is about 63.0079360081. The cubic root of 3970 is about 15.8342258654.

The spelling of 3970 in words is "three thousand, nine hundred seventy".