457697 has 2 divisors, whose sum is σ = 457698. Its totient is φ = 457696.

The previous prime is 457687. The next prime is 457711. The reversal of 457697 is 796754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 398161 + 59536 = 631^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 457697 - 2¹² = 453601 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 457697.

It is not a weakly prime, because it can be changed into another prime (457607) 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, 228848 + 228849.

It is an arithmetic number, because the mean of its divisors is an integer number (228849).

2⁴⁵⁷⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

457697 is a deficient number, since it is larger than the sum of its proper divisors (1).

457697 is an equidigital number, since it uses as much as digits as its factorization.

457697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 457697 is about 676.5330738404. The cubic root of 457697 is about 77.0653855138.

The spelling of 457697 in words is "four hundred fifty-seven thousand, six hundred ninety-seven".