4100413 has 2 divisors, whose sum is σ = 4100414. Its totient is φ = 4100412.

The previous prime is 4100407. The next prime is 4100419. The reversal of 4100413 is 3140014.

It is a balanced prime because it is at equal distance from previous prime (4100407) and next prime (4100419).

It can be written as a sum of positive squares in only one way, i.e., 3755844 + 344569 = 1938^2 + 587^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100413 - 2⁵ = 4100381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4100393 and 4100402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050206 + 2050207.

It is an arithmetic number, because the mean of its divisors is an integer number (2050207).

Almost surely, 2^4100413 is an apocalyptic number.

It is an amenable number.

4100413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100413 is an equidigital number, since it uses as much as digits as its factorization.

4100413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4100413 is about 2024.9476536444. The cubic root of 4100413 is about 160.0574403138.

Adding to 4100413 its reverse (3140014), we get a palindrome (7240427).

The spelling of 4100413 in words is "four million, one hundred thousand, four hundred thirteen".