962 has 8 divisors (see below), whose sum is σ = 1596. Its totient is φ = 432.

The previous prime is 953. The next prime is 967. The reversal of 962 is 269.

962 = 3⁴ + 4⁴ + 5⁴.

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

It is a Cunningham number, because it is equal to 31²+1.

It can be written as a sum of positive squares in 2 ways, for example, as 961 + 1 = 31^2 + 1^2 .

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

962 is an undulating number in base 6.

It is a plaindrome in base 9.

It is a nialpdrome in base 10 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 962.

It is not an unprimeable number, because it can be changed into a prime (967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 44.

962 is a deficient number, since it is larger than the sum of its proper divisors (634).

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

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

The sum of its prime factors is 52.

The product of its digits is 108, while the sum is 17.

The square root of 962 is about 31.0161248385. The cubic root of 962 is about 9.8716941346.

Adding to 962 its sum of digits (17), we get a palindrome (979).

The spelling of 962 in words is "nine hundred sixty-two", and thus it is an aban number.