212413 has 4 divisors (see below), whose sum is σ = 213408. Its totient is φ = 211420.

The previous prime is 212411. The next prime is 212419. The reversal of 212413 is 314212.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 212413 - 2¹ = 212411 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212393 and 212402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (53352).

2²¹²⁴¹³ is an apocalyptic number.

It is an amenable number.

212413 is a deficient number, since it is larger than the sum of its proper divisors (995).

212413 is an equidigital number, since it uses as much as digits as its factorization.

212413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994.

The product of its digits is 48, while the sum is 13.

The square root of 212413 is about 460.8828484550. The cubic root of 212413 is about 59.6660147171. Note that the first 3 decimals are identical.

Adding to 212413 its reverse (314212), we get a palindrome (526625).

It can be divided in two parts, 212 and 413, that added together give a 4-th power (625 = 5⁴).

The spelling of 212413 in words is "two hundred twelve thousand, four hundred thirteen".