406313 has 2 divisors, whose sum is σ = 406314. Its totient is φ = 406312.

The previous prime is 406309. The next prime is 406327. The reversal of 406313 is 313604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 6889 = 632^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 406313 - 2² = 406309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406291 and 406300.

It is not a weakly prime, because it can be changed into another prime (406013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203156 + 203157.

It is an arithmetic number, because the mean of its divisors is an integer number (203157).

2⁴⁰⁶³¹³ is an apocalyptic number.

It is an amenable number.

406313 is a deficient number, since it is larger than the sum of its proper divisors (1).

406313 is an equidigital number, since it uses as much as digits as its factorization.

406313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 406313 is about 637.4268585493. The cubic root of 406313 is about 74.0662299688.

Adding to 406313 its reverse (313604), we get a palindrome (719917).

The spelling of 406313 in words is "four hundred six thousand, three hundred thirteen".