3920961 has 16 divisors (see below), whose sum is σ = 5753088. Its totient is φ = 2355600.

The previous prime is 3920957. The next prime is 3920977. The reversal of 3920961 is 1690293.

3920961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3920961 - 2² = 3920957 is a prime.

3920961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3920941) 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 15 ways as a sum of consecutive naturals, for example, 3870 + ... + 4776.

It is an arithmetic number, because the mean of its divisors is an integer number (359568).

Almost surely, 2^3920961 is an apocalyptic number.

It is an amenable number.

3920961 is a deficient number, since it is larger than the sum of its proper divisors (1832127).

3920961 is a wasteful number, since it uses less digits than its factorization.

3920961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 3920961 is about 1980.1416615990. The cubic root of 3920961 is about 157.6875870214.

The spelling of 3920961 in words is "three million, nine hundred twenty thousand, nine hundred sixty-one".