413127 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 228960.

The previous prime is 413113. The next prime is 413129. The reversal of 413127 is 721314.

It is not a de Polignac number, because 413127 - 2⁴ = 413111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413129) 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 31 ways as a sum of consecutive naturals, for example, 3808 + ... + 3914.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴¹³¹²⁷ is an apocalyptic number.

413127 is a deficient number, since it is larger than the sum of its proper divisors (312633).

413127 is a wasteful number, since it uses less digits than its factorization.

413127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 413127 is about 642.7495624269. The cubic root of 413127 is about 74.4779749615.

It can be divided in two parts, 4 and 13127, that added together give a palindrome (13131).

The spelling of 413127 in words is "four hundred thirteen thousand, one hundred twenty-seven".