413731107 has 12 divisors (see below), whose sum is σ = 623595024. Its totient is φ = 263828400.

The previous prime is 413731103. The next prime is 413731111. The reversal of 413731107 is 701137314.

It is an interprime number because it is at equal distance from previous prime (413731103) and next prime (413731111).

It is not a de Polignac number, because 413731107 - 2² = 413731103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413731103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999144 + ... + 999557.

It is an arithmetic number, because the mean of its divisors is an integer number (51966252).

Almost surely, 2^413731107 is an apocalyptic number.

413731107 is a deficient number, since it is larger than the sum of its proper divisors (209863917).

413731107 is a wasteful number, since it uses less digits than its factorization.

413731107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998730 (or 1998727 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 413731107 is about 20340.3811911183. The cubic root of 413731107 is about 745.1425981113.

The spelling of 413731107 in words is "four hundred thirteen million, seven hundred thirty-one thousand, one hundred seven".