91967 has 2 divisors, whose sum is σ = 91968. Its totient is φ = 91966.

The previous prime is 91961. The next prime is 91969. The reversal of 91967 is 76919.

It is a strong prime.

It is an emirp because it is prime and its reverse (76919) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91967 - 2⁴ = 91951 is a prime.

It is a super-3 number, since 3×91967³ = 2333551093584189, which contains 333 as substring.

Together with 91969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45983 + 45984.

It is an arithmetic number, because the mean of its divisors is an integer number (45984).

2⁹¹⁹⁶⁷ is an apocalyptic number.

91967 is a deficient number, since it is larger than the sum of its proper divisors (1).

91967 is an equidigital number, since it uses as much as digits as its factorization.

91967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 32.

The square root of 91967 is about 303.2606139940. The cubic root of 91967 is about 45.1381761080.

The spelling of 91967 in words is "ninety-one thousand, nine hundred sixty-seven".