• Sorting the digits of 2⁵⁷⁷⁵ in ascending order we obtain a prime of 1576 digits.

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5775 has 24 divisors (see below), whose sum is σ = 11904. Its totient is φ = 2400.

The previous prime is 5749. The next prime is 5779.

5775 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 76²-1.

Together with 6128 it forms a betrothed pair.

It is not a de Polignac number, because 5775 - 2⁵ = 5743 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (496).

2⁵⁷⁷⁵ is an apocalyptic number.

5775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5775 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952).

5775 is a wasteful number, since it uses less digits than its factorization.

5775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 26 counting only the distinct ones).

The product of its digits is 1225, while the sum is 24.

The square root of 5775 is about 75.9934207679. The cubic root of 5775 is about 17.9411659316.

It can be divided in two parts, 5 and 775, that added together give a triangular number (780 = T₃₉).

The spelling of 5775 in words is "five thousand, seven hundred seventy-five".