99967 has 4 divisors (see below), whose sum is σ = 114256. Its totient is φ = 85680.

The previous prime is 99961. The next prime is 99971. The reversal of 99967 is 76999.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76999 = 13 ⋅5923.

It is not a de Polignac number, because 99967 - 2⁷ = 99839 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99961) 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, 7134 + ... + 7147.

It is an arithmetic number, because the mean of its divisors is an integer number (28564).

2⁹⁹⁹⁶⁷ is an apocalyptic number.

99967 is a deficient number, since it is larger than the sum of its proper divisors (14289).

99967 is a wasteful number, since it uses less digits than its factorization.

99967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288.

The product of its digits is 30618, while the sum is 40.

The square root of 99967 is about 316.1755841301. The cubic root of 99967 is about 46.4107820267.

The spelling of 99967 in words is "ninety-nine thousand, nine hundred sixty-seven".