89567 has 2 divisors, whose sum is σ = 89568. Its totient is φ = 89566.

The previous prime is 89563. The next prime is 89591. The reversal of 89567 is 76598.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 89567 - 2² = 89563 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (89561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44783 + 44784.

It is an arithmetic number, because the mean of its divisors is an integer number (44784).

2⁸⁹⁵⁶⁷ is an apocalyptic number.

89567 is a deficient number, since it is larger than the sum of its proper divisors (1).

89567 is an equidigital number, since it uses as much as digits as its factorization.

89567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 35.

The square root of 89567 is about 299.2774632344. The cubic root of 89567 is about 44.7420634469.

Subtracting from 89567 its product of digits (15120), we obtain a palindrome (74447).

It can be divided in two parts, 89 and 567, that added together give a palindrome (656).

The spelling of 89567 in words is "eighty-nine thousand, five hundred sixty-seven".