4211109 has 30 divisors (see below), whose sum is σ = 7324614. Its totient is φ = 2404080.

The previous prime is 4211107. The next prime is 4211111. The reversal of 4211109 is 9011124.

It is an interprime number because it is at equal distance from previous prime (4211107) and next prime (4211111).

It can be written as a sum of positive squares in only one way, i.e., 3814209 + 396900 = 1953^2 + 630^2 .

It is not a de Polignac number, because 4211109 - 2¹ = 4211107 is a prime.

It is a super-3 number, since 3×4211109³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

4211109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4211091 and 4211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3439 + ... + 4499.

Almost surely, 2^4211109 is an apocalyptic number.

4211109 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4211109 is a deficient number, since it is larger than the sum of its proper divisors (3113505).

4211109 is a wasteful number, since it uses less digits than its factorization.

4211109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 4211109 is about 2052.0986818377. The cubic root of 4211109 is about 161.4849899944.

The spelling of 4211109 in words is "four million, two hundred eleven thousand, one hundred nine".