10272213 has 18 divisors (see below), whose sum is σ = 17260854. Its totient is φ = 5869584.

The previous prime is 10272193. The next prime is 10272247. The reversal of 10272213 is 31227201.

It can be written as a sum of positive squares in only one way, i.e., 6036849 + 4235364 = 2457^2 + 2058^2 .

It is not a de Polignac number, because 10272213 - 2⁶ = 10272149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11206 + ... + 12087.

Almost surely, 2^10272213 is an apocalyptic number.

It is an amenable number.

10272213 is a deficient number, since it is larger than the sum of its proper divisors (6988641).

10272213 is a wasteful number, since it uses less digits than its factorization.

10272213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23313 (or 23303 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10272213 is about 3205.0293290390. The cubic root of 10272213 is about 217.3808780918.

Adding to 10272213 its reverse (31227201), we get a palindrome (41499414).

It can be divided in two parts, 1027 and 2213, that added together give a triangular number (3240 = T₈₀).

The spelling of 10272213 in words is "ten million, two hundred seventy-two thousand, two hundred thirteen".