20007963 has 24 divisors (see below), whose sum is σ = 30781296. Its totient is φ = 12480000.

The previous prime is 20007919. The next prime is 20007971. The reversal of 20007963 is 36970002.

It is not a de Polignac number, because 20007963 - 2¹⁷ = 19876891 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 (20007973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38143 + ... + 38663.

It is an arithmetic number, because the mean of its divisors is an integer number (1282554).

Almost surely, 2^20007963 is an apocalyptic number.

20007963 is a deficient number, since it is larger than the sum of its proper divisors (10773333).

20007963 is a wasteful number, since it uses less digits than its factorization.

20007963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20007963 is about 4473.0261568652. The cubic root of 20007963 is about 271.4777817253.

Adding to 20007963 its reverse (36970002), we get a palindrome (56977965).

The spelling of 20007963 in words is "twenty million, seven thousand, nine hundred sixty-three".