10712213 has 2 divisors, whose sum is σ = 10712214. Its totient is φ = 10712212.

The previous prime is 10712189. The next prime is 10712231. The reversal of 10712213 is 31221701.

10712213 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Together with next prime (10712231) 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., 7300804 + 3411409 = 2702^2 + 1847^2 .

It is a cyclic number.

It is not a de Polignac number, because 10712213 - 2¹⁰ = 10711189 is a prime.

It is a super-2 number, since 2×10712213² = 229503014714738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10712191 and 10712200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10712243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5356106 + 5356107.

It is an arithmetic number, because the mean of its divisors is an integer number (5356107).

Almost surely, 2^10712213 is an apocalyptic number.

It is an amenable number.

10712213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10712213 is an equidigital number, since it uses as much as digits as its factorization.

10712213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10712213 is about 3272.9517258890. The cubic root of 10712213 is about 220.4413522825.

Adding to 10712213 its reverse (31221701), we get a palindrome (41933914).

The spelling of 10712213 in words is "ten million, seven hundred twelve thousand, two hundred thirteen".