407213 has 4 divisors (see below), whose sum is σ = 408828. Its totient is φ = 405600.

The previous prime is 407207. The next prime is 407219. The reversal of 407213 is 312704.

It is a happy number.

407213 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (407207) and next prime (407219).

It can be written as a sum of positive squares in 2 ways, for example, as 1444 + 405769 = 38^2 + 637^2 .

It is a cyclic number.

It is not a de Polignac number, because 407213 - 2⁶ = 407149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407191 and 407200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407213.

It is not an unprimeable number, because it can be changed into a prime (407219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (102207).

2⁴⁰⁷²¹³ is an apocalyptic number.

It is an amenable number.

407213 is a deficient number, since it is larger than the sum of its proper divisors (1615).

407213 is a wasteful number, since it uses less digits than its factorization.

407213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 407213 is about 638.1324313965. The cubic root of 407213 is about 74.1208762222.

Adding to 407213 its reverse (312704), we get a palindrome (719917).

The spelling of 407213 in words is "four hundred seven thousand, two hundred thirteen".