67577 has 2 divisors, whose sum is σ = 67578. Its totient is φ = 67576.

The previous prime is 67567. The next prime is 67579. The reversal of 67577 is 77576.

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., 55696 + 11881 = 236^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 67577 - 2¹⁰ = 66553 is a prime.

Together with 67579, 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 67577.

It is not a weakly prime, because it can be changed into another prime (67579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33788 + 33789.

It is an arithmetic number, because the mean of its divisors is an integer number (33789).

2⁶⁷⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

67577 is a deficient number, since it is larger than the sum of its proper divisors (1).

67577 is an equidigital number, since it uses as much as digits as its factorization.

67577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10290, while the sum is 32.

The square root of 67577 is about 259.9557654679. The cubic root of 67577 is about 40.7317405994.

Subtracting 67577 from its reverse (77576), we obtain a palindrome (9999).

The spelling of 67577 in words is "sixty-seven thousand, five hundred seventy-seven".