4057963 has 16 divisors (see below), whose sum is σ = 5259520. Its totient is φ = 3040416.

The previous prime is 4057939. The next prime is 4057967. The reversal of 4057963 is 3697504.

It is a cyclic number.

It is not a de Polignac number, because 4057963 - 2⁹ = 4057451 is a prime.

4057963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4057967) 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, 556 + ... + 2902.

It is an arithmetic number, because the mean of its divisors is an integer number (328720).

Almost surely, 2^4057963 is an apocalyptic number.

4057963 is a deficient number, since it is larger than the sum of its proper divisors (1201557).

4057963 is a wasteful number, since it uses less digits than its factorization.

4057963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 4057963 is about 2014.4386314802. The cubic root of 4057963 is about 159.5031855052.

The spelling of 4057963 in words is "four million, fifty-seven thousand, nine hundred sixty-three".