10002213 has 24 divisors (see below), whose sum is σ = 15862392. Its totient is φ = 6035328.

The previous prime is 10002203. The next prime is 10002257. The reversal of 10002213 is 31220001.

It is a happy number.

10002213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 8661249 = 1158^2 + 2943^2 .

It is not a de Polignac number, because 10002213 - 2⁴ = 10002197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002195 and 10002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5395 + ... + 7007.

It is an arithmetic number, because the mean of its divisors is an integer number (660933).

Almost surely, 2^10002213 is an apocalyptic number.

10002213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002213 is a deficient number, since it is larger than the sum of its proper divisors (5860179).

10002213 is a wasteful number, since it uses less digits than its factorization.

10002213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10002213 is about 3162.6275468351. The cubic root of 10002213 is about 215.4593603776.

Adding to 10002213 its reverse (31220001), we get a palindrome (41222214).

The spelling of 10002213 in words is "ten million, two thousand, two hundred thirteen".