8257041 has 12 divisors (see below), whose sum is σ = 12844468. Its totient is φ = 5081184.

The previous prime is 8257009. The next prime is 8257043. The reversal of 8257041 is 1407528.

It can be written as a sum of positive squares in 2 ways, for example, as 1476225 + 6780816 = 1215^2 + 2604^2 .

It is not a de Polignac number, because 8257041 - 2⁵ = 8257009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8256996 and 8257014.

It is not an unprimeable number, because it can be changed into a prime (8257043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35170 + ... + 35403.

Almost surely, 2^8257041 is an apocalyptic number.

It is an amenable number.

8257041 is a deficient number, since it is larger than the sum of its proper divisors (4587427).

8257041 is a wasteful number, since it uses less digits than its factorization.

8257041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70592 (or 70589 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8257041 is about 2873.5067426404. The cubic root of 8257041 is about 202.1194682634.

It can be divided in two parts, 8 and 257041, that added together give a square (257049 = 507²).

The spelling of 8257041 in words is "eight million, two hundred fifty-seven thousand, forty-one".