89767 has 2 divisors, whose sum is σ = 89768. Its totient is φ = 89766.

The previous prime is 89759. The next prime is 89779. The reversal of 89767 is 76798.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 89767 - 2³ = 89759 is a prime.

It is a super-2 number, since 2×89767² = 16116228578, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (89797) 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 as a sum of consecutive naturals, namely, 44883 + 44884.

It is an arithmetic number, because the mean of its divisors is an integer number (44884).

2⁸⁹⁷⁶⁷ is an apocalyptic number.

89767 is a deficient number, since it is larger than the sum of its proper divisors (1).

89767 is an equidigital number, since it uses as much as digits as its factorization.

89767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 37.

The square root of 89767 is about 299.6114150028. The cubic root of 89767 is about 44.7753411811.

The spelling of 89767 in words is "eighty-nine thousand, seven hundred sixty-seven".