10213257 has 8 divisors (see below), whose sum is σ = 13745376. Its totient is φ = 6744992.

The previous prime is 10213253. The next prime is 10213261. The reversal of 10213257 is 75231201.

It is an interprime number because it is at equal distance from previous prime (10213253) and next prime (10213261).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10213257 - 2² = 10213253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10213253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15588 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (1718172).

Almost surely, 2^10213257 is an apocalyptic number.

It is an amenable number.

10213257 is a deficient number, since it is larger than the sum of its proper divisors (3532119).

10213257 is a wasteful number, since it uses less digits than its factorization.

10213257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31927.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10213257 is about 3195.8186744557. The cubic root of 10213257 is about 216.9642037126.

Adding to 10213257 its reverse (75231201), we get a palindrome (85444458).

It can be divided in two parts, 1021 and 3257, that added together give a triangular number (4278 = T₉₂).

The spelling of 10213257 in words is "ten million, two hundred thirteen thousand, two hundred fifty-seven".