10035257 has 4 divisors (see below), whose sum is σ = 10043940. Its totient is φ = 10026576.

The previous prime is 10035241. The next prime is 10035271. The reversal of 10035257 is 75253001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 75253001 = 1931 ⋅38971.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 2105401 = 2816^2 + 1451^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035257 - 2⁴ = 10035241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035217) 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, 2282 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (2510985).

Almost surely, 2^10035257 is an apocalyptic number.

It is an amenable number.

10035257 is a deficient number, since it is larger than the sum of its proper divisors (8683).

10035257 is an equidigital number, since it uses as much as digits as its factorization.

10035257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 10035257 is about 3167.8473763741. The cubic root of 10035257 is about 215.6963683661.

Adding to 10035257 its reverse (75253001), we get a palindrome (85288258).

The spelling of 10035257 in words is "ten million, thirty-five thousand, two hundred fifty-seven".