Search a number
BaseRepresentation
bin1111110101011
3102010021
41332223
5224412
6101311
732431
oct17653
912107
108107
116100
124837
1338c8
142d51
152607
hex1fab

8107 has 6 divisors (see below), whose sum is σ = 9044. Its totient is φ = 7260.

The previous prime is 8101. The next prime is 8111. The reversal of 8107 is 7018.

It is a de Polignac number, because none of the positive numbers 2k-8107 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

8107 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88 + ... + 154.

28107 is an apocalyptic number.

8107 is a deficient number, since it is larger than the sum of its proper divisors (937).

8107 is a wasteful number, since it uses less digits than its factorization.

8107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 8107 is about 90.0388804906. The cubic root of 8107 is about 20.0887720598.

Subtracting from 8107 its reverse (7018), we obtain a square (1089 = 332).

The spelling of 8107 in words is "eight thousand, one hundred seven".

Divisors: 1 11 67 121 737 8107