7257001 has 2 divisors, whose sum is σ = 7257002. Its totient is φ = 7257000.

The previous prime is 7256999. The next prime is 7257013. The reversal of 7257001 is 1007527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5569600 + 1687401 = 2360^2 + 1299^2 .

It is an emirp because it is prime and its reverse (1007527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7257001 - 2¹ = 7256999 is a prime.

Together with 7256999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (7257091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3628500 + 3628501.

It is an arithmetic number, because the mean of its divisors is an integer number (3628501).

Almost surely, 2^7257001 is an apocalyptic number.

It is an amenable number.

7257001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7257001 is an equidigital number, since it uses as much as digits as its factorization.

7257001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 7257001 is about 2693.8821429305. The cubic root of 7257001 is about 193.6061108566.

The spelling of 7257001 in words is "seven million, two hundred fifty-seven thousand, one".