35484 has 12 divisors (see below), whose sum is σ = 82824. Its totient is φ = 11824.

The previous prime is 35461. The next prime is 35491. The reversal of 35484 is 48453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×35484² = 2518228512, which contains 22 as substring.

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 35484.

It is an unprimeable number.

35484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1467 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (6902).

2³⁵⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

35484 is an abundant number, since it is smaller than the sum of its proper divisors (47340).

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 (41412).

35484 is a wasteful number, since it uses less digits than its factorization.

35484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2962 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 35484 is about 188.3719724375. The cubic root of 35484 is about 32.8607539464.

The spelling of 35484 in words is "thirty-five thousand, four hundred eighty-four".