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1997057 is a prime number
BaseRepresentation
bin111100111100100000001
310202110110002
413213210001
51002401212
6110445345
722655216
oct7474401
93673402
101997057
111144467
12803855
1354bcba
1439db0d
15296ac2
hex1e7901

1997057 has 2 divisors, whose sum is σ = 1997058. Its totient is φ = 1997056.

The previous prime is 1997053. The next prime is 1997059. The reversal of 1997057 is 7507991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1540081 + 456976 = 1241^2 + 676^2 .

It is an emirp because it is prime and its reverse (7507991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1997057 - 22 = 1997053 is a prime.

It is a super-2 number, since 2×19970572 = 7976473322498, which contains 22 as substring.

Together with 1997059, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 1997057.

It is not a weakly prime, because it can be changed into another prime (1997053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 998528 + 998529.

It is an arithmetic number, because the mean of its divisors is an integer number (998529).

21997057 is an apocalyptic number.

It is an amenable number.

1997057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1997057 is an equidigital number, since it uses as much as digits as its factorization.

1997057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 1997057 is about 1413.1726716859. The cubic root of 1997057 is about 125.9302755247.

The spelling of 1997057 in words is "one million, nine hundred ninety-seven thousand, fifty-seven".