406013 has 2 divisors, whose sum is σ = 406014. Its totient is φ = 406012.

The previous prime is 405997. The next prime is 406027. The reversal of 406013 is 310604.

It is an a-pointer prime, because the next prime (406027) can be obtained adding 406013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209764 + 196249 = 458^2 + 443^2 .

It is a cyclic number.

It is not a de Polignac number, because 406013 - 2⁴ = 405997 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203006 + 203007.

It is an arithmetic number, because the mean of its divisors is an integer number (203007).

2⁴⁰⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

406013 is a deficient number, since it is larger than the sum of its proper divisors (1).

406013 is an equidigital number, since it uses as much as digits as its factorization.

406013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 406013 is about 637.1914939796. The cubic root of 406013 is about 74.0479966200.

Adding to 406013 its reverse (310604), we get a palindrome (716617).

It can be divided in two parts, 40601 and 3, that added together give a palindrome (40604).

The spelling of 406013 in words is "four hundred six thousand, thirteen".