96967 has 4 divisors (see below), whose sum is σ = 104440. Its totient is φ = 89496.

The previous prime is 96959. The next prime is 96973. The reversal of 96967 is 76969.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76969 = 19 ⋅4051.

It is a cyclic number.

It is not a de Polignac number, because 96967 - 2³ = 96959 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3717 + ... + 3742.

It is an arithmetic number, because the mean of its divisors is an integer number (26110).

2⁹⁶⁹⁶⁷ is an apocalyptic number.

96967 is a deficient number, since it is larger than the sum of its proper divisors (7473).

96967 is a wasteful number, since it uses less digits than its factorization.

96967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472.

The product of its digits is 20412, while the sum is 37.

The square root of 96967 is about 311.3952472341. The cubic root of 96967 is about 45.9417978455.

The spelling of 96967 in words is "ninety-six thousand, nine hundred sixty-seven".