8072257 has 2 divisors, whose sum is σ = 8072258. Its totient is φ = 8072256.

The previous prime is 8072221. The next prime is 8072269. The reversal of 8072257 is 7522708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6431296 + 1640961 = 2536^2 + 1281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8072257 is a prime.

It is a super-2 number, since 2×8072257² = 130322666148098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8072357) 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 as a sum of consecutive naturals, namely, 4036128 + 4036129.

It is an arithmetic number, because the mean of its divisors is an integer number (4036129).

Almost surely, 2^8072257 is an apocalyptic number.

It is an amenable number.

8072257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8072257 is an equidigital number, since it uses as much as digits as its factorization.

8072257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 8072257 is about 2841.1717653109. The cubic root of 8072257 is about 200.6003378360.

The spelling of 8072257 in words is "eight million, seventy-two thousand, two hundred fifty-seven".