3968905 has 16 divisors (see below), whose sum is σ = 5143824. Its totient is φ = 2928640.

The previous prime is 3968897. The next prime is 3968917. The reversal of 3968905 is 5098693.

It can be written as a sum of positive squares in 8 ways, for example, as 841 + 3968064 = 29^2 + 1992^2 .

It is not a de Polignac number, because 3968905 - 2³ = 3968897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4065 + ... + 4945.

It is an arithmetic number, because the mean of its divisors is an integer number (321489).

Almost surely, 2^3968905 is an apocalyptic number.

It is an amenable number.

3968905 is a deficient number, since it is larger than the sum of its proper divisors (1174919).

3968905 is a wasteful number, since it uses less digits than its factorization.

3968905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 3968905 is about 1992.2110831937. The cubic root of 3968905 is about 158.3276993994.

The spelling of 3968905 in words is "three million, nine hundred sixty-eight thousand, nine hundred five".