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457397 is a prime number
BaseRepresentation
bin1101111101010110101
3212020102122
41233222311
5104114042
613445325
73613343
oct1575265
9766378
10457397
11292716
121a0845
13130265
14bc993
15907d2
hex6fab5

457397 has 2 divisors, whose sum is σ = 457398. Its totient is φ = 457396.

The previous prime is 457393. The next prime is 457399. The reversal of 457397 is 793754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 98596 = 599^2 + 314^2 .

It is a cyclic number.

It is not a de Polignac number, because 457397 - 22 = 457393 is a prime.

Together with 457399, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457393) 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, 228698 + 228699.

It is an arithmetic number, because the mean of its divisors is an integer number (228699).

2457397 is an apocalyptic number.

It is an amenable number.

457397 is a deficient number, since it is larger than the sum of its proper divisors (1).

457397 is an equidigital number, since it uses as much as digits as its factorization.

457397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 35.

The square root of 457397 is about 676.3113188466. The cubic root of 457397 is about 77.0485441910.

The spelling of 457397 in words is "four hundred fifty-seven thousand, three hundred ninety-seven".