96867 has 12 divisors (see below), whose sum is σ = 143520. Its totient is φ = 62928.

The previous prime is 96857. The next prime is 96893. The reversal of 96867 is 76869.

It is not a de Polignac number, because 96867 - 2⁴ = 96851 is a prime.

96867 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (96827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (11960).

2⁹⁶⁸⁶⁷ is an apocalyptic number.

96867 is a deficient number, since it is larger than the sum of its proper divisors (46653).

96867 is a wasteful number, since it uses less digits than its factorization.

96867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 96867 is about 311.2346381751. The cubic root of 96867 is about 45.9259994812.

It can be divided in two parts, 968 and 67, that added together give a triangular number (1035 = T₄₅).

The spelling of 96867 in words is "ninety-six thousand, eight hundred sixty-seven".