677563 has 2 divisors, whose sum is σ = 677564. Its totient is φ = 677562.

The previous prime is 677561. The next prime is 677587. The reversal of 677563 is 365776.

677563 is nontrivially palindromic in base 7 and base 15.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 677563 - 2¹ = 677561 is a prime.

Together with 677561, it forms a pair of twin primes.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (677561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338781 + 338782.

It is an arithmetic number, because the mean of its divisors is an integer number (338782).

2⁶⁷⁷⁵⁶³ is an apocalyptic number.

677563 is a deficient number, since it is larger than the sum of its proper divisors (1).

677563 is an equidigital number, since it uses as much as digits as its factorization.

677563 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26460, while the sum is 34.

The square root of 677563 is about 823.1421505427. The cubic root of 677563 is about 87.8314179552.

The spelling of 677563 in words is "six hundred seventy-seven thousand, five hundred sixty-three".