4005963 has 32 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 2419200.

The previous prime is 4005959. The next prime is 4005971. The reversal of 4005963 is 3695004.

It is a happy number.

It is not a de Polignac number, because 4005963 - 2² = 4005959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

4005963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4005943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35395 + ... + 35507.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^4005963 is an apocalyptic number.

4005963 is a deficient number, since it is larger than the sum of its proper divisors (2505717).

4005963 is a wasteful number, since it uses less digits than its factorization.

4005963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4005963 is about 2001.4901948298. The cubic root of 4005963 is about 158.8189466361.

The spelling of 4005963 in words is "four million, five thousand, nine hundred sixty-three".