10427257 has 16 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 9318672.

The previous prime is 10427251. The next prime is 10427281. The reversal of 10427257 is 75272401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10427257 is a prime.

It is a Duffinian number.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10427251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46648 + ... + 46870.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^10427257 is an apocalyptic number.

It is an amenable number.

10427257 is a deficient number, since it is larger than the sum of its proper divisors (1184903).

10427257 is a wasteful number, since it uses less digits than its factorization.

10427257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 10427257 is about 3229.1263524365. The cubic root of 10427257 is about 218.4691031828.

Adding to 10427257 its reverse (75272401), we get a palindrome (85699658).

It can be divided in two parts, 104272 and 57, that added together give a square (104329 = 323²).

The spelling of 10427257 in words is "ten million, four hundred twenty-seven thousand, two hundred fifty-seven".