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997000457 is a prime number
BaseRepresentation
bin111011011011010…
…000010100001001
32120111000212111212
4323123100110021
54020213003312
6242533102505
733464235605
oct7333202411
92514025455
10997000457
11471865222
12239a87a35
1312b729acb
14965aa505
155c7dc822
hex3b6d0509

997000457 has 2 divisors, whose sum is σ = 997000458. Its totient is φ = 997000456.

The previous prime is 997000423. The next prime is 997000507. The reversal of 997000457 is 754000799.

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., 858255616 + 138744841 = 29296^2 + 11779^2 .

It is a cyclic number.

It is not a de Polignac number, because 997000457 - 224 = 980223241 is a prime.

It is a super-3 number, since 3×9970004573 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (997003457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498500228 + 498500229.

It is an arithmetic number, because the mean of its divisors is an integer number (498500229).

Almost surely, 2997000457 is an apocalyptic number.

It is an amenable number.

997000457 is a deficient number, since it is larger than the sum of its proper divisors (1).

997000457 is an equidigital number, since it uses as much as digits as its factorization.

997000457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 997000457 is about 31575.3140443607. The cubic root of 997000457 is about 998.9991509687. Note that the first 3 decimals are identical.

The spelling of 997000457 in words is "nine hundred ninety-seven million, four hundred fifty-seven", and thus it is an aban number.