40577 has 2 divisors, whose sum is σ = 40578. Its totient is φ = 40576.

The previous prime is 40559. The next prime is 40583. The reversal of 40577 is 77504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36481 + 4096 = 191^2 + 64^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40577 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40577.

It is not a weakly prime, because it can be changed into another prime (40507) 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, 20288 + 20289.

It is an arithmetic number, because the mean of its divisors is an integer number (20289).

2⁴⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

40577 is a deficient number, since it is larger than the sum of its proper divisors (1).

40577 is an equidigital number, since it uses as much as digits as its factorization.

40577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 40577 is about 201.4373351690. The cubic root of 40577 is about 34.3631772014.

The spelling of 40577 in words is "forty thousand, five hundred seventy-seven".