10724257 has 4 divisors (see below), whose sum is σ = 10828480. Its totient is φ = 10620036.

The previous prime is 10724251. The next prime is 10724321. The reversal of 10724257 is 75242701.

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.

It is a cyclic number.

It is not a de Polignac number, because 10724257 - 2³ = 10724249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10724251) 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 3 ways as a sum of consecutive naturals, for example, 51957 + ... + 52162.

It is an arithmetic number, because the mean of its divisors is an integer number (2707120).

Almost surely, 2^10724257 is an apocalyptic number.

It is an amenable number.

10724257 is a deficient number, since it is larger than the sum of its proper divisors (104223).

10724257 is a wasteful number, since it uses less digits than its factorization.

10724257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104222.

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

The square root of 10724257 is about 3274.7911383781. The cubic root of 10724257 is about 220.5239371864.

Adding to 10724257 its reverse (75242701), we get a palindrome (85966958).

It can be divided in two parts, 1072 and 4257, that added together give a square (5329 = 73²).

The spelling of 10724257 in words is "ten million, seven hundred twenty-four thousand, two hundred fifty-seven".