41213 has 2 divisors, whose sum is σ = 41214. Its totient is φ = 41212.

The previous prime is 41203. The next prime is 41221. The reversal of 41213 is 31214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 4 = 203^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 41213 - 2⁶ = 41149 is a prime.

It is a super-2 number, since 2×41213² = 3397022738, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 41194 and 41203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20606 + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (20607).

2⁴¹²¹³ is an apocalyptic number.

It is an amenable number.

41213 is a deficient number, since it is larger than the sum of its proper divisors (1).

41213 is an equidigital number, since it uses as much as digits as its factorization.

41213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 11.

The square root of 41213 is about 203.0098519777. The cubic root of 41213 is about 34.5417823260.

Adding to 41213 its reverse (31214), we get a palindrome (72427).

Subtracting from 41213 its reverse (31214), we obtain a palindrome (9999).

It can be divided in two parts, 412 and 13, that multiplied together give a triangular number (5356 = T₁₀₃).

The spelling of 41213 in words is "forty-one thousand, two hundred thirteen".