4111011 has 24 divisors (see below), whose sum is σ = 6474000. Its totient is φ = 2503872.

The previous prime is 4111007. The next prime is 4111021. The reversal of 4111011 is 1101114.

It is not a de Polignac number, because 4111011 - 2² = 4111007 is a prime.

It is a super-3 number, since 3×4111011³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

4111011 is a lucky number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4110984 and 4111002.

It is not an unprimeable number, because it can be changed into a prime (4111021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4545 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (269750).

Almost surely, 2^4111011 is an apocalyptic number.

4111011 is a deficient number, since it is larger than the sum of its proper divisors (2362989).

4111011 is a wasteful number, since it uses less digits than its factorization.

4111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 4111011 is about 2027.5628227012. The cubic root of 4111011 is about 160.1952174457.

Adding to 4111011 its reverse (1101114), we get a palindrome (5212125).

The spelling of 4111011 in words is "four million, one hundred eleven thousand, eleven".