1257457 has 2 divisors, whose sum is σ = 1257458. Its totient is φ = 1257456.

The previous prime is 1257437. The next prime is 1257461. The reversal of 1257457 is 7547521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 703921 + 553536 = 839^2 + 744^2 .

It is an emirp because it is prime and its reverse (7547521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1257457 - 2¹⁹ = 733169 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257437) 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 as a sum of consecutive naturals, namely, 628728 + 628729.

It is an arithmetic number, because the mean of its divisors is an integer number (628729).

2^1257457 is an apocalyptic number.

It is an amenable number.

1257457 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257457 is an equidigital number, since it uses as much as digits as its factorization.

1257457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9800, while the sum is 31.

The square root of 1257457 is about 1121.3639016840. The cubic root of 1257457 is about 107.9355182072.

Subtracting 1257457 from its reverse (7547521), we obtain a square (6290064 = 2508²).

The spelling of 1257457 in words is "one million, two hundred fifty-seven thousand, four hundred fifty-seven".