10217257 has 4 divisors (see below), whose sum is σ = 10268800. Its totient is φ = 10165716.

The previous prime is 10217243. The next prime is 10217279. The reversal of 10217257 is 75271201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75271201 = 2267 ⋅33203.

It is not a de Polignac number, because 10217257 - 2²³ = 1828649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10217237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25473 + ... + 25870.

It is an arithmetic number, because the mean of its divisors is an integer number (2567200).

Almost surely, 2^10217257 is an apocalyptic number.

It is an amenable number.

10217257 is a deficient number, since it is larger than the sum of its proper divisors (51543).

10217257 is an equidigital number, since it uses as much as digits as its factorization.

10217257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51542.

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 10217257 is about 3196.4444309263. Note that the first 4 decimals coincide. The cubic root of 10217257 is about 216.9925245360.

Adding to 10217257 its reverse (75271201), we get a palindrome (85488458).

It can be divided in two parts, 10 and 217257, that multiplied together give a triangular number (2172570 = T₂₀₈₄).

The spelling of 10217257 in words is "ten million, two hundred seventeen thousand, two hundred fifty-seven".