3917961 has 12 divisors (see below), whose sum is σ = 5686980. Its totient is φ = 2599200.

The previous prime is 3917923. The next prime is 3917989. The reversal of 3917961 is 1697193.

3917961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2013561 + 1904400 = 1419^2 + 1380^2 .

It is not a de Polignac number, because 3917961 - 2⁷ = 3917833 is a prime.

3917961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3917161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (473915).

Almost surely, 2^3917961 is an apocalyptic number.

It is an amenable number.

3917961 is a deficient number, since it is larger than the sum of its proper divisors (1769019).

3917961 is a wasteful number, since it uses less digits than its factorization.

3917961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2133 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 3917961 is about 1979.3839950853. The cubic root of 3917961 is about 157.6473601942.

The spelling of 3917961 in words is "three million, nine hundred seventeen thousand, nine hundred sixty-one".