457097 has 2 divisors, whose sum is σ = 457098. Its totient is φ = 457096.

The previous prime is 457091. The next prime is 457099. The reversal of 457097 is 790754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 121 = 676^2 + 11^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457097 is a prime.

Together with 457099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457091) 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, 228548 + 228549.

It is an arithmetic number, because the mean of its divisors is an integer number (228549).

2⁴⁵⁷⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

457097 is a deficient number, since it is larger than the sum of its proper divisors (1).

457097 is an equidigital number, since it uses as much as digits as its factorization.

457097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 457097 is about 676.0894911179. The cubic root of 457097 is about 77.0316955026.

The spelling of 457097 in words is "four hundred fifty-seven thousand, ninety-seven".