541577 has 2 divisors, whose sum is σ = 541578. Its totient is φ = 541576.

The previous prime is 541571. The next prime is 541579. The reversal of 541577 is 775145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 491401 + 50176 = 701^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 541577 - 2¹⁴ = 525193 is a prime.

Together with 541579, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541577.

It is not a weakly prime, because it can be changed into another prime (541571) 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, 270788 + 270789.

It is an arithmetic number, because the mean of its divisors is an integer number (270789).

2⁵⁴¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

541577 is a deficient number, since it is larger than the sum of its proper divisors (1).

541577 is an equidigital number, since it uses as much as digits as its factorization.

541577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4900, while the sum is 29.

The square root of 541577 is about 735.9191531683. The cubic root of 541577 is about 81.5117225037.

It can be divided in two parts, 54 and 1577, that multiplied together give a palindrome (85158).

The spelling of 541577 in words is "five hundred forty-one thousand, five hundred seventy-seven".