4212413 has 12 divisors (see below), whose sum is σ = 4609332. Its totient is φ = 3836160.

The previous prime is 4212401. The next prime is 4212421. The reversal of 4212413 is 3142124.

It can be written as a sum of positive squares in 6 ways, for example, as 284089 + 3928324 = 533^2 + 1982^2 .

It is not a de Polignac number, because 4212413 - 2²⁰ = 3163837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4212391 and 4212400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23183 + ... + 23363.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^4212413 is an apocalyptic number.

It is an amenable number.

4212413 is a deficient number, since it is larger than the sum of its proper divisors (396919).

4212413 is a wasteful number, since it uses less digits than its factorization.

4212413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 235 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 4212413 is about 2052.4163807571. The cubic root of 4212413 is about 161.5016566013.

Adding to 4212413 its reverse (3142124), we get a palindrome (7354537).

The spelling of 4212413 in words is "four million, two hundred twelve thousand, four hundred thirteen".