5577 has 12 divisors (see below), whose sum is σ = 8784. Its totient is φ = 3120.

The previous prime is 5573. The next prime is 5581. The reversal of 5577 is 7755.

It is an interprime number because it is at equal distance from previous prime (5573) and next prime (5581).

It is not a de Polignac number, because 5577 - 2² = 5573 is a prime.

It is a super-2 number, since 2×5577² = 62205858, which contains 22 as substring.

5577 is a Rhonda number in base 6.

5577 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5573) 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 in 11 ways as a sum of consecutive naturals, for example, 423 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (732).

It is an amenable number.

5577 is a deficient number, since it is larger than the sum of its proper divisors (3207).

5577 is a wasteful number, since it uses less digits than its factorization.

5577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 27 counting only the distinct ones).

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

The square root of 5577 is about 74.6793144050. The cubic root of 5577 is about 17.7337350177.

The spelling of 5577 in words is "five thousand, five hundred seventy-seven".