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457057 is a prime number
BaseRepresentation
bin1101111100101100001
3212012222001
41233211201
5104111212
613444001
73612346
oct1574541
9765861
10457057
11292437
121a0601
13130063
14bc7cd
1590657
hex6f961

457057 has 2 divisors, whose sum is σ = 457058. Its totient is φ = 457056.

The previous prime is 457049. The next prime is 457087. The reversal of 457057 is 750754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 81 = 676^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 457057 - 23 = 457049 is a prime.

It is a super-2 number, since 2×4570572 = 417802202498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (457087) 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, 228528 + 228529.

It is an arithmetic number, because the mean of its divisors is an integer number (228529).

2457057 is an apocalyptic number.

It is an amenable number.

457057 is a deficient number, since it is larger than the sum of its proper divisors (1).

457057 is an equidigital number, since it uses as much as digits as its factorization.

457057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 457057 is about 676.0599085880. The cubic root of 457057 is about 77.0294484538.

The spelling of 457057 in words is "four hundred fifty-seven thousand, fifty-seven".