7838213 has 2 divisors, whose sum is σ = 7838214. Its totient is φ = 7838212.

The previous prime is 7838183. The next prime is 7838219. The reversal of 7838213 is 3128387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7828804 + 9409 = 2798^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 7838213 - 2¹² = 7834117 is a prime.

It is a super-2 number, since 2×7838213² = 122875166066738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7838213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7838219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3919106 + 3919107.

It is an arithmetic number, because the mean of its divisors is an integer number (3919107).

Almost surely, 2^7838213 is an apocalyptic number.

It is an amenable number.

7838213 is a deficient number, since it is larger than the sum of its proper divisors (1).

7838213 is an equidigital number, since it uses as much as digits as its factorization.

7838213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 7838213 is about 2799.6808746713. The cubic root of 7838213 is about 198.6425829375.

The spelling of 7838213 in words is "seven million, eight hundred thirty-eight thousand, two hundred thirteen".