10963 has 4 divisors (see below), whose sum is σ = 11560. Its totient is φ = 10368.

The previous prime is 10957. The next prime is 10973. The reversal of 10963 is 36901.

Subtracting from 10963 its product of nonzero digits (162), we obtain a palindrome (10801).

It is a semiprime because it is the product of two primes.

It is a 7-Lehmer number, since φ(10963) divides (10963-1)^{7}.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-10963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 577 = 10963 / (1 + 0 + 9 + 6 + 3).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10963.

It is not an unprimeable number, because it can be changed into a prime (10903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (2890).

2^{10963} is an apocalyptic number.

10963 is a deficient number, since it is larger than the sum of its proper divisors (597).

10963 is an equidigital number, since it uses as much as digits as its factorization.

10963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 10963 is about 104.7043456596. The cubic root of 10963 is about 22.2148373610.

The spelling of 10963 in words is "ten thousand, nine hundred sixty-three".

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