7962 has 8 divisors (see below), whose sum is σ = 15936. Its totient is φ = 2652.

The previous prime is 7951. The next prime is 7963. The reversal of 7962 is 2697.

7962 is nontrivially palindromic in base 5.

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

7962 is an admirable number.

It is a d-powerful number, because it can be written as 7² + 6⁵ + 9 + 2⁷ .

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (7963) by changing a digit.

7962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (1992).

2⁷⁹⁶² is an apocalyptic number.

7962 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968).

7962 is a wasteful number, since it uses less digits than its factorization.

7962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332.

The product of its digits is 756, while the sum is 24.

The square root of 7962 is about 89.2300397848. The cubic root of 7962 is about 19.9682830617.

It can be divided in two parts, 79 and 62, that added together give a palindrome (141).

The spelling of 7962 in words is "seven thousand, nine hundred sixty-two".