8001963 has 8 divisors (see below), whose sum is σ = 11854800. Its totient is φ = 5334624.

The previous prime is 8001949. The next prime is 8001971. The reversal of 8001963 is 3691008.

It is not a de Polignac number, because 8001963 - 2⁶ = 8001899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 296369 = 8001963 / (8 + 0 + 0 + 1 + 9 + 6 + 3).

It is not an unprimeable number, because it can be changed into a prime (8001163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148158 + ... + 148211.

It is an arithmetic number, because the mean of its divisors is an integer number (1481850).

Almost surely, 2^8001963 is an apocalyptic number.

8001963 is a deficient number, since it is larger than the sum of its proper divisors (3852837).

8001963 is a wasteful number, since it uses less digits than its factorization.

8001963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296378 (or 296372 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8001963 is about 2828.7741161146. The cubic root of 8001963 is about 200.0163569955.

The spelling of 8001963 in words is "eight million, one thousand, nine hundred sixty-three".