4967961 has 16 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 3008768.

The previous prime is 4967933. The next prime is 4967969. The reversal of 4967961 is 1697694.

4967961 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4967961 - 2⁹ = 4967449 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (4967969) 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, 201 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^4967961 is an apocalyptic number.

It is an amenable number.

4967961 is a deficient number, since it is larger than the sum of its proper divisors (2289639).

4967961 is a wasteful number, since it uses less digits than its factorization.

4967961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408.

The product of its digits is 81648, while the sum is 42.

The square root of 4967961 is about 2228.8923257977. The cubic root of 4967961 is about 170.6315722891.

The spelling of 4967961 in words is "four million, nine hundred sixty-seven thousand, nine hundred sixty-one".