10790257 has 16 divisors (see below), whose sum is σ = 11893392. Its totient is φ = 9748480.

The previous prime is 10790231. The next prime is 10790261. The reversal of 10790257 is 75209701.

10790257 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 8 ways, for example, as 1766241 + 9024016 = 1329^2 + 3004^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10790257 is a prime.

It is a super-2 number, since 2×10790257² = 232859292252098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10790207) 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 15 ways as a sum of consecutive naturals, for example, 78693 + ... + 78829.

It is an arithmetic number, because the mean of its divisors is an integer number (743337).

Almost surely, 2^10790257 is an apocalyptic number.

10790257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10790257 is a deficient number, since it is larger than the sum of its proper divisors (1103135).

10790257 is a wasteful number, since it uses less digits than its factorization.

10790257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 10790257 is about 3284.8526603183. The cubic root of 10790257 is about 220.9754004409.

Adding to 10790257 its reverse (75209701), we get a palindrome (85999958).

The spelling of 10790257 in words is "ten million, seven hundred ninety thousand, two hundred fifty-seven".