96767 has 8 divisors (see below), whose sum is σ = 111360. Its totient is φ = 83160.

The previous prime is 96763. The next prime is 96769. The reversal of 96767 is 76769.

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

It is not a de Polignac number, because 96767 - 2² = 96763 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (13920).

2⁹⁶⁷⁶⁷ is an apocalyptic number.

96767 is a deficient number, since it is larger than the sum of its proper divisors (14593).

96767 is a wasteful number, since it uses less digits than its factorization.

96767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493.

The product of its digits is 15876, while the sum is 35.

The square root of 96767 is about 311.0739461929. The cubic root of 96767 is about 45.9101902402.

It can be divided in two parts, 9 and 6767, that added together give a palindrome (6776).

The spelling of 96767 in words is "ninety-six thousand, seven hundred sixty-seven".