68577 has 4 divisors (see below), whose sum is σ = 91440. Its totient is φ = 45716.

The previous prime is 68567. The next prime is 68581. The reversal of 68577 is 77586.

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 a cyclic number.

It is not a de Polignac number, because 68577 - 2⁷ = 68449 is a prime.

It is a D-number.

68577 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (68507) 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, 11427 + ... + 11432.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2⁶⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

68577 is a deficient number, since it is larger than the sum of its proper divisors (22863).

68577 is a wasteful number, since it uses less digits than its factorization.

68577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22862.

The product of its digits is 11760, while the sum is 33.

The square root of 68577 is about 261.8721061893. The cubic root of 68577 is about 40.9316728298.

Subtracting 68577 from its reverse (77586), we obtain a palindrome (9009).

The spelling of 68577 in words is "sixty-eight thousand, five hundred seventy-seven".