35904 has 56 divisors (see below), whose sum is σ = 109728. Its totient is φ = 10240.

The previous prime is 35899. The next prime is 35911. The reversal of 35904 is 40953.

35904 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35904.

It is an unprimeable number.

35904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2104 + ... + 2120.

2³⁵⁹⁰⁴ is an apocalyptic number.

35904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864).

35904 is an abundant number, since it is smaller than the sum of its proper divisors (73824).

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

35904 is a wasteful number, since it uses less digits than its factorization.

35904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 35904 is about 189.4835085172. The cubic root of 35904 is about 32.9898958965.

It can be divided in two parts, 35 and 904, that added together give a palindrome (939).

The spelling of 35904 in words is "thirty-five thousand, nine hundred four".