96966 has 12 divisors (see below), whose sum is σ = 210132. Its totient is φ = 32316.

The previous prime is 96959. The next prime is 96973. The reversal of 96966 is 66969.

It is an interprime number because it is at equal distance from previous prime (96959) and next prime (96973).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96966.

It is a congruent number.

It is an unprimeable number.

96966 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 5 ways as a sum of consecutive naturals, for example, 2676 + ... + 2711.

It is an arithmetic number, because the mean of its divisors is an integer number (17511).

2⁹⁶⁹⁶⁶ is an apocalyptic number.

96966 is an abundant number, since it is smaller than the sum of its proper divisors (113166).

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

96966 is a wasteful number, since it uses less digits than its factorization.

96966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5392 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 96966 is about 311.3936415536. The cubic root of 96966 is about 45.9416399157.

It can be divided in two parts, 969 and 66, that added together give a triangular number (1035 = T₄₅).

The spelling of 96966 in words is "ninety-six thousand, nine hundred sixty-six".