635965 has 16 divisors (see below), whose sum is σ = 861696. Its totient is φ = 446400.

The previous prime is 635959. The next prime is 635969. The reversal of 635965 is 569536.

It is not a de Polignac number, because 635965 - 2⁷ = 635837 is a prime.

635965 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 635965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635969) 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 in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 1891.

It is an arithmetic number, because the mean of its divisors is an integer number (53856).

2⁶³⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

635965 is a deficient number, since it is larger than the sum of its proper divisors (225731).

635965 is a wasteful number, since it uses less digits than its factorization.

635965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its digits is 24300, while the sum is 34.

The square root of 635965 is about 797.4741375117. The cubic root of 635965 is about 85.9958984884.

It can be divided in two parts, 635 and 965, that added together give a square (1600 = 40²).

The spelling of 635965 in words is "six hundred thirty-five thousand, nine hundred sixty-five".