89667 has 16 divisors (see below), whose sum is σ = 137760. Its totient is φ = 58320.

The previous prime is 89659. The next prime is 89669. The reversal of 89667 is 76698.

It is not a de Polignac number, because 89667 - 2³ = 89659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2⁸⁹⁶⁶⁷ is an apocalyptic number.

89667 is a deficient number, since it is larger than the sum of its proper divisors (48093).

89667 is an frugal number, since it uses more digits than its factorization.

89667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 89667 is about 299.4444856731. Note that the first 4 decimals coincide. The cubic root of 89667 is about 44.7587084994.

The spelling of 89667 in words is "eighty-nine thousand, six hundred sixty-seven".