457981 has 2 divisors, whose sum is σ = 457982. Its totient is φ = 457980.

The previous prime is 457979. The next prime is 457987. The reversal of 457981 is 189754.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403225 + 54756 = 635^2 + 234^2 .

It is a cyclic number.

It is not a de Polignac number, because 457981 - 2¹ = 457979 is a prime.

It is a super-2 number, since 2×457981² = 419493192722, which contains 22 as substring.

Together with 457979, it forms a pair of twin primes.

457981 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228990 + 228991.

It is an arithmetic number, because the mean of its divisors is an integer number (228991).

2⁴⁵⁷⁹⁸¹ is an apocalyptic number.

It is an amenable number.

457981 is a deficient number, since it is larger than the sum of its proper divisors (1).

457981 is an equidigital number, since it uses as much as digits as its factorization.

457981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 34.

The square root of 457981 is about 676.7429349465. The cubic root of 457981 is about 77.0813218532.

The spelling of 457981 in words is "four hundred fifty-seven thousand, nine hundred eighty-one".