404713 has 2 divisors, whose sum is σ = 404714. Its totient is φ = 404712.

The previous prime is 404699. The next prime is 404773. The reversal of 404713 is 317404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218089 + 186624 = 467^2 + 432^2 .

It is a cyclic number.

It is not a de Polignac number, because 404713 - 2¹⁷ = 273641 is a prime.

It is a super-2 number, since 2×404713² = 327585224738, which contains 22 as substring.

404713 is a lucky number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (404773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202356 + 202357.

It is an arithmetic number, because the mean of its divisors is an integer number (202357).

2⁴⁰⁴⁷¹³ is an apocalyptic number.

It is an amenable number.

404713 is a deficient number, since it is larger than the sum of its proper divisors (1).

404713 is an equidigital number, since it uses as much as digits as its factorization.

404713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 404713 is about 636.1705746103. The cubic root of 404713 is about 73.9688814861.

It can be divided in two parts, 40 and 4713, that added together give a triangular number (4753 = T₉₇).

The spelling of 404713 in words is "four hundred four thousand, seven hundred thirteen".