1741 has 2 divisors, whose sum is σ = 1742. Its totient is φ = 1740.

The previous prime is 1733. The next prime is 1747. The reversal of 1741 is 1471.

Subtracting from 1741 its sum of digits (13), we obtain a cube (1728 = 12^{3}).

1741 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900 + 841 = 30^2 + 29^2 .

It is an emirp because it is prime and its reverse (1471) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1741 - 2^{3} = 1733 is a prime.

It is a plaindrome in base 9 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1747) 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, 870 + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (871).

1741 is the 30-th centered square number.

It is an amenable number.

1741 is a deficient number, since it is larger than the sum of its proper divisors (1).

1741 is an equidigital number, since it uses as much as digits as its factorization.

1741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28, while the sum is 13.

The square root of 1741 is about 41.7252920901. The cubic root of 1741 is about 12.0300174427.

The spelling of 1741 in words is "one thousand, seven hundred forty-one", and thus it is an iban number.

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