207963 has 12 divisors (see below), whose sum is σ = 343408. Its totient is φ = 118800.

The previous prime is 207953. The next prime is 207967. The reversal of 207963 is 369702.

It is not a de Polignac number, because 207963 - 2⁴ = 207947 is a prime.

It is a Duffinian number.

207963 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 207963.

It is not an unprimeable number, because it can be changed into a prime (207967) 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, 1588 + ... + 1713.

2²⁰⁷⁹⁶³ is an apocalyptic number.

207963 is a deficient number, since it is larger than the sum of its proper divisors (135445).

207963 is a wasteful number, since it uses less digits than its factorization.

207963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3311 counting only the distinct ones).

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

The square root of 207963 is about 456.0296043022. The cubic root of 207963 is about 59.2464079433.

Subtracting from 207963 its sum of digits (27), we obtain a square (207936 = 456²).

The spelling of 207963 in words is "two hundred seven thousand, nine hundred sixty-three".