42577 has 2 divisors, whose sum is σ = 42578. Its totient is φ = 42576.

The previous prime is 42571. The next prime is 42589. The reversal of 42577 is 77524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 961 = 204^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 42577 - 2³ = 42569 is a prime.

42577 is a lucky number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (42571) 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 as a sum of consecutive naturals, namely, 21288 + 21289.

It is an arithmetic number, because the mean of its divisors is an integer number (21289).

2⁴²⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

42577 is a deficient number, since it is larger than the sum of its proper divisors (1).

42577 is an equidigital number, since it uses as much as digits as its factorization.

42577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1960, while the sum is 25.

The square root of 42577 is about 206.3419492008. The cubic root of 42577 is about 34.9187229691.

The spelling of 42577 in words is "forty-two thousand, five hundred seventy-seven".