405713 has 12 divisors (see below), whose sum is σ = 510720. Its totient is φ = 315480.

The previous prime is 405709. The next prime is 405719. The reversal of 405713 is 317504.

It is a happy number.

It is not a de Polignac number, because 405713 - 2² = 405709 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (405719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (42560).

2⁴⁰⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

405713 is a deficient number, since it is larger than the sum of its proper divisors (105007).

405713 is a wasteful number, since it uses less digits than its factorization.

405713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 405713 is about 636.9560424394. The cubic root of 405713 is about 74.0297542874.

Subtracting from 405713 its reverse (317504), we obtain a square (88209 = 297²).

The spelling of 405713 in words is "four hundred five thousand, seven hundred thirteen".