4114111 has 8 divisors (see below), whose sum is σ = 4237904. Its totient is φ = 3991680.

The previous prime is 4114087. The next prime is 4114133. The reversal of 4114111 is 1114114.

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

It is a 7-Lehmer number, since φ(4114111) divides (4114111-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 4114111 - 2¹¹ = 4112063 is a prime.

It is a Duffinian number.

4114111 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4114091 and 4114100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114151) 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, 10165 + ... + 10561.

It is an arithmetic number, because the mean of its divisors is an integer number (529738).

Almost surely, 2^4114111 is an apocalyptic number.

4114111 is a deficient number, since it is larger than the sum of its proper divisors (123793).

4114111 is a wasteful number, since it uses less digits than its factorization.

4114111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681.

The product of its digits is 16, while the sum is 13.

The square root of 4114111 is about 2028.3271432390. The cubic root of 4114111 is about 160.2354735937.

Adding to 4114111 its reverse (1114114), we get a palindrome (5228225).

It can be divided in two parts, 4114 and 111, that multiplied together give a palindrome (456654).

The spelling of 4114111 in words is "four million, one hundred fourteen thousand, one hundred eleven".