2105667 has 12 divisors (see below), whose sum is σ = 3112824. Its totient is φ = 1370880.

The previous prime is 2105641. The next prime is 2105669. The reversal of 2105667 is 7665012.

It is not a de Polignac number, because 2105667 - 2¹⁰ = 2104643 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2105667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2334 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (259402).

2^2105667 is an apocalyptic number.

2105667 is a deficient number, since it is larger than the sum of its proper divisors (1007157).

2105667 is a wasteful number, since it uses less digits than its factorization.

2105667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2105667 is about 1451.0916580285. The cubic root of 2105667 is about 128.1730041815.

It can be divided in two parts, 2105 and 667, that added together give a palindrome (2772).

The spelling of 2105667 in words is "two million, one hundred five thousand, six hundred sixty-seven".