457913 has 2 divisors, whose sum is σ = 457914. Its totient is φ = 457912.

The previous prime is 457903. The next prime is 457943. The reversal of 457913 is 319754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 157609 = 548^2 + 397^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457913 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457903) 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, 228956 + 228957.

It is an arithmetic number, because the mean of its divisors is an integer number (228957).

2⁴⁵⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

457913 is a deficient number, since it is larger than the sum of its proper divisors (1).

457913 is an equidigital number, since it uses as much as digits as its factorization.

457913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 29.

The square root of 457913 is about 676.6926924387. The cubic root of 457913 is about 77.0775067100.

It can be divided in two parts, 457 and 913, that multiplied together give a triangular number (417241 = T₉₁₃).

The spelling of 457913 in words is "four hundred fifty-seven thousand, nine hundred thirteen".