10962 has 32 divisors (see below), whose sum is σ = 28800. Its totient is φ = 3024.

The previous prime is 10957. The next prime is 10973. The reversal of 10962 is 26901.

10962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10962.

It is an unprimeable number.

10962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2¹⁰⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

10962 is an abundant number, since it is smaller than the sum of its proper divisors (17838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10962 is a wasteful number, since it uses less digits than its factorization.

10962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10962 is about 104.6995701997. The cubic root of 10962 is about 22.2141618916.

It can be divided in two parts, 109 and 62, that added together give a palindrome (171).

The spelling of 10962 in words is "ten thousand, nine hundred sixty-two".