457117 has 2 divisors, whose sum is σ = 457118. Its totient is φ = 457116.

The previous prime is 457099. The next prime is 457139. The reversal of 457117 is 711754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251001 + 206116 = 501^2 + 454^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457117 is a prime.

457117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 457091 and 457100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457517) 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, 228558 + 228559.

It is an arithmetic number, because the mean of its divisors is an integer number (228559).

2⁴⁵⁷¹¹⁷ is an apocalyptic number.

It is an amenable number.

457117 is a deficient number, since it is larger than the sum of its proper divisors (1).

457117 is an equidigital number, since it uses as much as digits as its factorization.

457117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 980, while the sum is 25.

The square root of 457117 is about 676.1042818974. The cubic root of 457117 is about 77.0328189778.

It can be divided in two parts, 4 and 57117, that added together give a square (57121 = 239²).

The spelling of 457117 in words is "four hundred fifty-seven thousand, one hundred seventeen".