635977 has 2 divisors, whose sum is σ = 635978. Its totient is φ = 635976.

The previous prime is 635969. The next prime is 635981. The reversal of 635977 is 779536.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 622521 + 13456 = 789^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 635977 - 2³ = 635969 is a prime.

635977 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (635917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 317988 + 317989.

It is an arithmetic number, because the mean of its divisors is an integer number (317989).

2⁶³⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

635977 is a deficient number, since it is larger than the sum of its proper divisors (1).

635977 is an equidigital number, since it uses as much as digits as its factorization.

635977 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 635977 is about 797.4816612312. The cubic root of 635977 is about 85.9964393694.

The spelling of 635977 in words is "six hundred thirty-five thousand, nine hundred seventy-seven".