1755 has 16 divisors (see below), whose sum is σ = 3360. Its totient is φ = 864.

The previous prime is 1753. The next prime is 1759. The reversal of 1755 is 5571.

1755 = 5^{2} + 6^{2} + ... + 17^{2}.

It is a happy number.

1755 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 1755 - 2^{1} = 1753 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

1755 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8 and base 11.

It is a nialpdrome in base 8 and base 13.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

2^{1755} is an apocalyptic number.

1755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1755 is a deficient number, since it is larger than the sum of its proper divisors (1605).

1755 is a wasteful number, since it uses less digits than its factorization.

1755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 21 counting only the distinct ones).

The product of its digits is 175, while the sum is 18.

The square root of 1755 is about 41.8927201313. The cubic root of 1755 is about 12.0621772758.

The spelling of 1755 in words is "one thousand, seven hundred fifty-five".

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