89167 has 8 divisors (see below), whose sum is σ = 101360. Its totient is φ = 77976.

The previous prime is 89153. The next prime is 89189. The reversal of 89167 is 76198.

It is not a de Polignac number, because 89167 - 2¹¹ = 87119 is a prime.

It is a Duffinian number.

89167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4684 + ... + 4702.

It is an arithmetic number, because the mean of its divisors is an integer number (12670).

2⁸⁹¹⁶⁷ is an apocalyptic number.

89167 is a deficient number, since it is larger than the sum of its proper divisors (12193).

89167 is an equidigital number, since it uses as much as digits as its factorization.

89167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 32 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 89167 is about 298.6084392645. The cubic root of 89167 is about 44.6753590667.

Adding to 89167 its sum of digits (31), we get a palindrome (89198).

It can be divided in two parts, 89 and 167, that added together give a 8-th power (256 = 2⁸).

The spelling of 89167 in words is "eighty-nine thousand, one hundred sixty-seven".