635961 has 8 divisors (see below), whose sum is σ = 862560. Its totient is φ = 416672.

The previous prime is 635959. The next prime is 635969. The reversal of 635961 is 169536.

It is a happy number.

635961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 635961 - 2¹ = 635959 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 635961.

It is not an unprimeable number, because it can be changed into a prime (635969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1620 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (107820).

2⁶³⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

635961 is a deficient number, since it is larger than the sum of its proper divisors (226599).

635961 is a wasteful number, since it uses less digits than its factorization.

635961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655.

The product of its digits is 4860, while the sum is 30.

The square root of 635961 is about 797.4716295894. The cubic root of 635961 is about 85.9957181932.

It can be divided in two parts, 635 and 961, that added together give a triangular number (1596 = T₅₆).

The spelling of 635961 in words is "six hundred thirty-five thousand, nine hundred sixty-one".