677531 has 2 divisors, whose sum is σ = 677532. Its totient is φ = 677530.

The previous prime is 677473. The next prime is 677533. The reversal of 677531 is 135776.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-677531 is a prime.

It is a super-2 number, since 2×677531² = 918096511922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 677533, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 677494 and 677503.

It is not a weakly prime, because it can be changed into another prime (677533) 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, 338765 + 338766.

It is an arithmetic number, because the mean of its divisors is an integer number (338766).

2⁶⁷⁷⁵³¹ is an apocalyptic number.

677531 is a deficient number, since it is larger than the sum of its proper divisors (1).

677531 is an equidigital number, since it uses as much as digits as its factorization.

677531 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 29.

The square root of 677531 is about 823.1227126012. The cubic root of 677531 is about 87.8300352304.

The spelling of 677531 in words is "six hundred seventy-seven thousand, five hundred thirty-one".