91567 has 8 divisors (see below), whose sum is σ = 106496. Its totient is φ = 77112.

The previous prime is 91541. The next prime is 91571. The reversal of 91567 is 76519.

It is a happy number.

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

It is not a de Polignac number, because 91567 - 2¹¹ = 89519 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91577) 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 7 ways as a sum of consecutive naturals, for example, 658 + ... + 784.

It is an arithmetic number, because the mean of its divisors is an integer number (13312).

2⁹¹⁵⁶⁷ is an apocalyptic number.

91567 is a deficient number, since it is larger than the sum of its proper divisors (14929).

91567 is a wasteful number, since it uses less digits than its factorization.

91567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237.

The product of its digits is 1890, while the sum is 28.

The square root of 91567 is about 302.6003965629. The cubic root of 91567 is about 45.0726398818.

The spelling of 91567 in words is "ninety-one thousand, five hundred sixty-seven".