10257 has 8 divisors (see below), whose sum is σ = 14784. Its totient is φ = 6288.

The previous prime is 10253. The next prime is 10259. The reversal of 10257 is 75201.

It is a happy number.

10257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10257 - 2² = 10253 is a prime.

It is a super-3 number, since 3×10257³ = 3237295333779, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10257.

It is not an unprimeable number, because it can be changed into a prime (10253) 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, 93 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

2¹⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

10257 is a deficient number, since it is larger than the sum of its proper divisors (4527).

10257 is a wasteful number, since it uses less digits than its factorization.

10257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10257 is about 101.2768482922. The cubic root of 10257 is about 21.7273512419.

Adding to 10257 its reverse (75201), we get a palindrome (85458).

The spelling of 10257 in words is "ten thousand, two hundred fifty-seven".