677953 has 2 divisors, whose sum is σ = 677954. Its totient is φ = 677952.

The previous prime is 677947. The next prime is 677959. The reversal of 677953 is 359776.

It is a balanced prime because it is at equal distance from previous prime (677947) and next prime (677959).

It can be written as a sum of positive squares in only one way, i.e., 535824 + 142129 = 732^2 + 377^2 .

It is a cyclic number.

It is not a de Polignac number, because 677953 - 2⁹ = 677441 is a prime.

677953 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (677959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338976 + 338977.

It is an arithmetic number, because the mean of its divisors is an integer number (338977).

2⁶⁷⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

677953 is a deficient number, since it is larger than the sum of its proper divisors (1).

677953 is an equidigital number, since it uses as much as digits as its factorization.

677953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39690, while the sum is 37.

The square root of 677953 is about 823.3790135776. The cubic root of 677953 is about 87.8482664170.

The spelling of 677953 in words is "six hundred seventy-seven thousand, nine hundred fifty-three".