2577 has 4 divisors (see below), whose sum is σ = 3440. Its totient is φ = 1716.

The previous prime is 2557. The next prime is 2579. The reversal of 2577 is 7752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2577 - 2¹⁰ = 1553 is a prime.

It is a d-powerful number, because it can be written as 2 + 7² + 5³ + 7⁴ .

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 14 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2577.

It is not an unprimeable number, because it can be changed into a prime (2579) 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, 427 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (860).

It is an amenable number.

2577 is a deficient number, since it is larger than the sum of its proper divisors (863).

2577 is an equidigital number, since it uses as much as digits as its factorization.

2577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862.

The product of its digits is 490, while the sum is 21.

The square root of 2577 is about 50.7641605860. The cubic root of 2577 is about 13.7100216158.

Subtracting from 2577 its sum of digits (21), we obtain a triangular number (2556 = T₇₁).

The spelling of 2577 in words is "two thousand, five hundred seventy-seven".