4131963 has 12 divisors (see below), whose sum is σ = 6511128. Its totient is φ = 2504160.

The previous prime is 4131961. The next prime is 4131971. The reversal of 4131963 is 3691314.

It is not a de Polignac number, because 4131963 - 2¹ = 4131961 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4131961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20770 + ... + 20967.

It is an arithmetic number, because the mean of its divisors is an integer number (542594).

Almost surely, 2^4131963 is an apocalyptic number.

4131963 is a deficient number, since it is larger than the sum of its proper divisors (2379165).

4131963 is a wasteful number, since it uses less digits than its factorization.

4131963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41754 (or 41751 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 4131963 is about 2032.7230504916. The cubic root of 4131963 is about 160.4669044056.

The spelling of 4131963 in words is "four million, one hundred thirty-one thousand, nine hundred sixty-three".