4200109 has 2 divisors, whose sum is σ = 4200110. Its totient is φ = 4200108.

The previous prime is 4200103. The next prime is 4200113. The reversal of 4200109 is 9010024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2941225 + 1258884 = 1715^2 + 1122^2 .

It is a cyclic number.

It is not a de Polignac number, because 4200109 - 2¹⁵ = 4167341 is a prime.

It is a super-2 number, since 2×4200109² = 35281831223762, which contains 22 as substring.

4200109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4200092 and 4200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4200103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100054 + 2100055.

It is an arithmetic number, because the mean of its divisors is an integer number (2100055).

Almost surely, 2^4200109 is an apocalyptic number.

It is an amenable number.

4200109 is a deficient number, since it is larger than the sum of its proper divisors (1).

4200109 is an equidigital number, since it uses as much as digits as its factorization.

4200109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 4200109 is about 2049.4167462964. The cubic root of 4200109 is about 161.3442603342.

The spelling of 4200109 in words is "four million, two hundred thousand, one hundred nine".