11583257 has 12 divisors (see below), whose sum is σ = 13840740. Its totient is φ = 9658656.

The previous prime is 11583251. The next prime is 11583259. The reversal of 11583257 is 75238511.

It can be written as a sum of positive squares in 2 ways, for example, as 4206601 + 7376656 = 2051^2 + 2716^2 .

It is not a de Polignac number, because 11583257 - 2¹⁴ = 11566873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11583251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1382 + ... + 5007.

It is an arithmetic number, because the mean of its divisors is an integer number (1153395).

Almost surely, 2^11583257 is an apocalyptic number.

It is an amenable number.

11583257 is a deficient number, since it is larger than the sum of its proper divisors (2257483).

11583257 is an equidigital number, since it uses as much as digits as its factorization.

11583257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6433 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 11583257 is about 3403.4184285803. The cubic root of 11583257 is about 226.2612753454.

The spelling of 11583257 in words is "eleven million, five hundred eighty-three thousand, two hundred fifty-seven".