10241257 has 8 divisors (see below), whose sum is σ = 11055240. Its totient is φ = 9431040.

The previous prime is 10241251. The next prime is 10241261. The reversal of 10241257 is 75214201.

It is a happy number.

10241257 is digitally balanced in base 3, 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 4932841 + 5308416 = 2221^2 + 2304^2 .

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 10241257 - 2¹⁹ = 9716969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10241251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7719 + ... + 8947.

It is an arithmetic number, because the mean of its divisors is an integer number (1381905).

Almost surely, 2^10241257 is an apocalyptic number.

It is an amenable number.

10241257 is a deficient number, since it is larger than the sum of its proper divisors (813983).

10241257 is a wasteful number, since it uses less digits than its factorization.

10241257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 10241257 is about 3200.1964002230. The cubic root of 10241257 is about 217.1622944405.

Adding to 10241257 its reverse (75214201), we get a palindrome (85455458).

The spelling of 10241257 in words is "ten million, two hundred forty-one thousand, two hundred fifty-seven".