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968 = 23112

968 has 12 divisors (see below), whose sum is σ = 1995. Its totient is φ = 440.

The previous prime is 967. The next prime is 971. The reversal of 968 is 869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

968 is nontrivially palindromic in base 7.

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

It can be written as a sum of positive squares in only one way, i.e., 484 + 484 = 22^2 + 22^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22.

It is a Duffinian number.

It is a plaindrome in base 5, base 12 and base 15.

It is a nialpdrome in base 11.

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 2 ways as a sum of consecutive naturals, for example, 83 + ... + 93.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968

968 is an abundant number, since it is smaller than the sum of its proper divisors (1027).

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

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

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

The sum of its prime factors is 28 (or 13 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 968 is about 31.1126983722. The cubic root of 968 is about 9.8921748865.

The spelling of 968 in words is "nine hundred sixty-eight", and is thus an aban number and an oban number.

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968