3577 has 6 divisors (see below), whose sum is σ = 4218. Its totient is φ = 3024.

The previous prime is 3571. The next prime is 3581. The reversal of 3577 is 7753.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 441 = 56^2 + 21^2 .

It is not a de Polignac number, because 3577 - 2⁷ = 3449 is a prime.

It is a Duffinian number.

3577 is a modest number, since divided by 77 gives 35 as remainder.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (703).

2³⁵⁷⁷ is an apocalyptic number.

3577 is the 49-th pentagonal number.

It is an amenable number.

3577 is a deficient number, since it is larger than the sum of its proper divisors (641).

3577 is an equidigital number, since it uses as much as digits as its factorization.

3577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 80 counting only the distinct ones).

The product of its digits is 735, while the sum is 22.

The square root of 3577 is about 59.8080262172. The cubic root of 3577 is about 15.2934797854.

The spelling of 3577 in words is "three thousand, five hundred seventy-seven".