19971963 has 24 divisors (see below), whose sum is σ = 31951296. Its totient is φ = 11919600.

The previous prime is 19971953. The next prime is 19971979. The reversal of 19971963 is 36917991.

It is not a de Polignac number, because 19971963 - 2⁴ = 19971947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19971943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5128 + ... + 8138.

It is an arithmetic number, because the mean of its divisors is an integer number (1331304).

Almost surely, 2^19971963 is an apocalyptic number.

19971963 is a deficient number, since it is larger than the sum of its proper divisors (11979333).

19971963 is a wasteful number, since it uses less digits than its factorization.

19971963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3092 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 19971963 is about 4469.0002237637. Note that the first 3 decimals coincide. The cubic root of 19971963 is about 271.3148621318.

The spelling of 19971963 in words is "nineteen million, nine hundred seventy-one thousand, nine hundred sixty-three".