3981961 has 16 divisors (see below), whose sum is σ = 4490640. Its totient is φ = 3512320.

The previous prime is 3981959. The next prime is 3981973. The reversal of 3981961 is 1691893.

It can be written as a sum of positive squares in 8 ways, for example, as 156025 + 3825936 = 395^2 + 1956^2 .

It is a cyclic number.

It is not a de Polignac number, because 3981961 - 2¹ = 3981959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3981961.

It is not an unprimeable number, because it can be changed into a prime (3981911) 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, 20115 + ... + 20311.

It is an arithmetic number, because the mean of its divisors is an integer number (280665).

Almost surely, 2^3981961 is an apocalyptic number.

It is an amenable number.

3981961 is a deficient number, since it is larger than the sum of its proper divisors (508679).

3981961 is a wasteful number, since it uses less digits than its factorization.

3981961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its digits is 11664, while the sum is 37.

The square root of 3981961 is about 1995.4851540415. The cubic root of 3981961 is about 158.5011195176.

The spelling of 3981961 in words is "three million, nine hundred eighty-one thousand, nine hundred sixty-one".