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1567 is a prime number
BaseRepresentation
bin11000011111
32011001
4120133
522232
611131
74366
oct3037
92131
101567
1111a5
12aa7
13937
147dd
156e7
hex61f

1567 has 2 divisors, whose sum is σ = 1568. Its totient is φ = 1566.

The previous prime is 1559. The next prime is 1571. The reversal of 1567 is 7651.

Subtracting 1567 from its reverse (7651), we obtain a square (6084 = 782).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1567 - 23 = 1559 is a prime.

It is a Chen prime.

1567 is a lucky number.

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1597) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 783 + 784.

It is an arithmetic number, because the mean of its divisors is an integer number (784).

1567 is a deficient number, since it is larger than the sum of its proper divisors (1).

1567 is an equidigital number, since it uses as much as digits as its factorization.

1567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 19.

The square root of 1567 is about 39.5853508258. The cubic root of 1567 is about 11.6151012201.

The spelling of 1567 in words is "one thousand, five hundred sixty-seven".