416213 has 8 divisors (see below), whose sum is σ = 488832. Its totient is φ = 346896.

The previous prime is 416201. The next prime is 416219. The reversal of 416213 is 312614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416213 - 2⁶ = 416149 is a prime.

It is a super-2 number, since 2×416213² = 346466522738, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416191 and 416200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416219) 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 7 ways as a sum of consecutive naturals, for example, 545 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (61104).

2⁴¹⁶²¹³ is an apocalyptic number.

It is an amenable number.

416213 is a deficient number, since it is larger than the sum of its proper divisors (72619).

416213 is a wasteful number, since it uses less digits than its factorization.

416213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651.

The product of its digits is 144, while the sum is 17.

The square root of 416213 is about 645.1457199734. The cubic root of 416213 is about 74.6629617457.

Adding to 416213 its reverse (312614), we get a palindrome (728827).

The spelling of 416213 in words is "four hundred sixteen thousand, two hundred thirteen".