1745 has 4 divisors (see below), whose sum is σ = 2100. Its totient is φ = 1392.

The previous prime is 1741. The next prime is 1747. The reversal of 1745 is 5471.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 961 + 784 = 31^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 1745 - 2² = 1741 is a prime.

It is a Curzon number.

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 8 and base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1745.

It is not an unprimeable number, because it can be changed into a prime (1741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (525).

It is an amenable number.

1745 is a deficient number, since it is larger than the sum of its proper divisors (355).

1745 is an equidigital number, since it uses as much as digits as its factorization.

1745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its digits is 140, while the sum is 17.

The square root of 1745 is about 41.7731971484. The cubic root of 1745 is about 12.0392235052.

Subtracting from 1745 its sum of digits (17), we obtain a cube (1728 = 12³).

The spelling of 1745 in words is "one thousand, seven hundred forty-five".