414213 has 4 divisors (see below), whose sum is σ = 552288. Its totient is φ = 276140.

The previous prime is 414209. The next prime is 414217. The reversal of 414213 is 312414.

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 an interprime number because it is at equal distance from previous prime (414209) and next prime (414217).

It is a cyclic number.

It is not a de Polignac number, because 414213 - 2² = 414209 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 414192 and 414201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69033 + ... + 69038.

It is an arithmetic number, because the mean of its divisors is an integer number (138072).

2⁴¹⁴²¹³ is an apocalyptic number.

It is an amenable number.

414213 is a deficient number, since it is larger than the sum of its proper divisors (138075).

414213 is a wasteful number, since it uses less digits than its factorization.

414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138074.

The product of its digits is 96, while the sum is 15.

The square root of 414213 is about 643.5938160051. The cubic root of 414213 is about 74.5431787292.

Adding to 414213 its reverse (312414), we get a palindrome (726627).

The spelling of 414213 in words is "four hundred fourteen thousand, two hundred thirteen".