9962 has 8 divisors (see below), whose sum is σ = 15876. Its totient is φ = 4672.

The previous prime is 9949. The next prime is 9967. The reversal of 9962 is 2699.

It can be written as a sum of positive squares in 2 ways, for example, as 8281 + 1681 = 91^2 + 41^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9962.

It is not an unprimeable number, because it can be changed into a prime (9967) 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, 113 + ... + 180.

2⁹⁹⁶² is an apocalyptic number.

9962 is a deficient number, since it is larger than the sum of its proper divisors (5914).

9962 is a wasteful number, since it uses less digits than its factorization.

9962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its digits is 972, while the sum is 26.

The square root of 9962 is about 99.8098191562. The cubic root of 9962 is about 21.5170227544.

It can be divided in two parts, 99 and 62, that added together give a palindrome (161).

The spelling of 9962 in words is "nine thousand, nine hundred sixty-two".