677983 has 2 divisors, whose sum is σ = 677984. Its totient is φ = 677982.

The previous prime is 677959. The next prime is 678023. The reversal of 677983 is 389776.

It is an a-pointer prime, because the next prime (678023) can be obtained adding 677983 to its sum of digits (40).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 677983 - 2⁹ = 677471 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (677953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338991 + 338992.

It is an arithmetic number, because the mean of its divisors is an integer number (338992).

2⁶⁷⁷⁹⁸³ is an apocalyptic number.

677983 is a deficient number, since it is larger than the sum of its proper divisors (1).

677983 is an equidigital number, since it uses as much as digits as its factorization.

677983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 677983 is about 823.3972309888. The cubic root of 677983 is about 87.8495621849.

The spelling of 677983 in words is "six hundred seventy-seven thousand, nine hundred eighty-three".