40213 has 2 divisors, whose sum is σ = 40214. Its totient is φ = 40212.

The previous prime is 40193. The next prime is 40231. The reversal of 40213 is 31204.

40213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (40231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 6724 = 183^2 + 82^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20106 + 20107.

It is an arithmetic number, because the mean of its divisors is an integer number (20107).

2⁴⁰²¹³ is an apocalyptic number.

It is an amenable number.

40213 is a deficient number, since it is larger than the sum of its proper divisors (1).

40213 is an equidigital number, since it uses as much as digits as its factorization.

40213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40213 is about 200.5317929905. The cubic root of 40213 is about 34.2601156474.

Adding to 40213 its reverse (31204), we get a palindrome (71417).

Subtracting from 40213 its reverse (31204), we obtain a palindrome (9009).

It can be divided in two parts, 40 and 213, that added together give a triangular number (253 = T₂₂).

The spelling of 40213 in words is "forty thousand, two hundred thirteen".