4107 has 6 divisors (see below), whose sum is σ = 5628. Its totient is φ = 2664.

The previous prime is 4099. The next prime is 4111. The reversal of 4107 is 7014.

It is not a de Polignac number, because 4107 - 2³ = 4099 is a prime.

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

4107 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4092 and 4101.

It is not an unprimeable number, because it can be changed into a prime (4127) 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, 93 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (938).

2⁴¹⁰⁷ is an apocalyptic number.

4107 is a deficient number, since it is larger than the sum of its proper divisors (1521).

4107 is an equidigital number, since it uses as much as digits as its factorization.

4107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 4107 is about 64.0858798800. The cubic root of 4107 is about 16.0143101141.

Subtracting from 4107 its sum of digits (12), we obtain a triangular number (4095 = T₉₀).

Multiplying 4107 by its sum of digits (12), we get a square (49284 = 222²).

It can be divided in two parts, 4 and 107, that added together give a palindrome (111).

The spelling of 4107 in words is "four thousand, one hundred seven", and thus it is an iban number.