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1597 is a prime number
BaseRepresentation
bin11000111101
32012011
4120331
522342
611221
74441
oct3075
92164
101597
111222
12b11
1395b
14821
15717
hex63d

1597 has 2 divisors, whose sum is σ = 1598. Its totient is φ = 1596.

The previous prime is 1583. The next prime is 1601. The reversal of 1597 is 7951.

It is the 17-th Fibonacci number F17.

1597 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1156 + 441 = 34^2 + 21^2 .

It is an emirp because it is prime and its reverse (7951) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1597 is a prime.

It is a pancake number, because a pancake can be divided into 1597 parts by 56 straight cuts.

1597 is an undulating number in base 15.

1597 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 7, base 12 and base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 798 + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (799).

It is an amenable number.

1597 is a deficient number, since it is larger than the sum of its proper divisors (1).

1597 is an equidigital number, since it uses as much as digits as its factorization.

1597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 22.

The square root of 1597 is about 39.9624824054. The cubic root of 1597 is about 11.6887563350.

The spelling of 1597 in words is "one thousand, five hundred ninety-seven".