8911 has 8 divisors (see below), whose sum is σ = 10880. Its totient is φ = 7128.

The previous prime is 8893. The next prime is 8923. The reversal of 8911 is 1198.

8911 = T₁₈ + T₁₉ + ... + T₃₈.

8911 = 36² + 37² + ... + 41².

8911 is a nontrivial binomial coefficient, being equal to C(134, 2).

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

It is a 3-Lehmer number, since φ(8911) divides (8911-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 8911 - 2⁷ = 8783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a deceptive number, since it divides R₈₉₁₀.

It is a Duffinian number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8941) 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, 100 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (1360).

It is a Poulet number, since it divides 2⁸⁹¹⁰-1.

2⁸⁹¹¹ is an apocalyptic number.

8911 is the 133-rd triangular number and also the 67-th hexagonal number.

8911 is the 55-th hex number and also the 45-th centered nonagonal number.

8911 is a deficient number, since it is larger than the sum of its proper divisors (1969).

8911 is a wasteful number, since it uses less digits than its factorization.

8911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its digits is 72, while the sum is 19.

The square root of 8911 is about 94.3980932011. The cubic root of 8911 is about 20.7320452416.

It can be divided in two parts, 89 and 11, that multiplied together give a palindrome (979).

The spelling of 8911 in words is "eight thousand, nine hundred eleven".