1705971663 has 24 divisors (see below), whose sum is σ = 2805079680. Its totient is φ = 988967760.

The previous prime is 1705971653. The next prime is 1705971667. The reversal of 1705971663 is 3661795071.

It is not a de Polignac number, because 1705971663 - 2¹⁰ = 1705970639 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1705971667) 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, 372333 + ... + 376886.

It is an arithmetic number, because the mean of its divisors is an integer number (116878320).

Almost surely, 2^1705971663 is an apocalyptic number.

1705971663 is a deficient number, since it is larger than the sum of its proper divisors (1099108017).

1705971663 is a wasteful number, since it uses less digits than its factorization.

1705971663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749259 (or 749256 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1705971663 is about 41303.4098229190. The cubic root of 1705971663 is about 1194.8790253522.

The spelling of 1705971663 in words is "one billion, seven hundred five million, nine hundred seventy-one thousand, six hundred sixty-three".