404113 has 2 divisors, whose sum is σ = 404114. Its totient is φ = 404112.

The previous prime is 404099. The next prime is 404119. The reversal of 404113 is 311404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 199809 = 452^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 404113 - 2⁵ = 404081 is a prime.

404113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 404093 and 404102.

It is not a weakly prime, because it can be changed into another prime (404119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202056 + 202057.

It is an arithmetic number, because the mean of its divisors is an integer number (202057).

2⁴⁰⁴¹¹³ is an apocalyptic number.

It is an amenable number.

404113 is a deficient number, since it is larger than the sum of its proper divisors (1).

404113 is an equidigital number, since it uses as much as digits as its factorization.

404113 is an evil number, because the sum of its binary digits is even.

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

The square root of 404113 is about 635.6988280625. The cubic root of 404113 is about 73.9323096610.

Adding to 404113 its reverse (311404), we get a palindrome (715517).

The spelling of 404113 in words is "four hundred four thousand, one hundred thirteen".