406713 has 4 divisors (see below), whose sum is σ = 542288. Its totient is φ = 271140.

The previous prime is 406699. The next prime is 406717. The reversal of 406713 is 317604.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 406713 - 2⁴ = 406697 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 406713.

It is not an unprimeable number, because it can be changed into a prime (406717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67783 + ... + 67788.

It is an arithmetic number, because the mean of its divisors is an integer number (135572).

2⁴⁰⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

406713 is a deficient number, since it is larger than the sum of its proper divisors (135575).

406713 is a wasteful number, since it uses less digits than its factorization.

406713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135574.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 406713 is about 637.7405428542. The cubic root of 406713 is about 74.0905271446.

The spelling of 406713 in words is "four hundred six thousand, seven hundred thirteen".