40635 has 32 divisors (see below), whose sum is σ = 84480. Its totient is φ = 18144.

The previous prime is 40627. The next prime is 40637. The reversal of 40635 is 53604.

It is a happy number.

40635 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40635 - 2³ = 40627 is a prime.

40635 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (40637) 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 31 ways as a sum of consecutive naturals, for example, 924 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (2640).

2⁴⁰⁶³⁵ is an apocalyptic number.

40635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40635 is an abundant number, since it is smaller than the sum of its proper divisors (43845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42240).

40635 is a wasteful number, since it uses less digits than its factorization.

40635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40635 is about 201.5812491280. The cubic root of 40635 is about 34.3795420995.

It can be divided in two parts, 406 and 35, that added together give a square (441 = 21²).

The spelling of 40635 in words is "forty thousand, six hundred thirty-five".