8906 has 8 divisors (see below), whose sum is σ = 13764. Its totient is φ = 4320.

The previous prime is 8893. The next prime is 8923. The reversal of 8906 is 6098.

8906 is nontrivially palindromic in base 8.

8906 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 8281 + 625 = 91^2 + 25^2 .

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

8906 is an undulating number in base 11.

It is a congruent number.

It is an unprimeable number.

8906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 158.

2⁸⁹⁰⁶ is an apocalyptic number.

8906 is a deficient number, since it is larger than the sum of its proper divisors (4858).

8906 is a wasteful number, since it uses less digits than its factorization.

8906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 8906 is about 94.3716058992. The cubic root of 8906 is about 20.7281669032.

The spelling of 8906 in words is "eight thousand, nine hundred six".