35084 has 18 divisors (see below), whose sum is σ = 71820. Its totient is φ = 14952.

The previous prime is 35083. The next prime is 35089. The reversal of 35084 is 48053.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁷ + 5³ + 0 + 8⁵ + 4 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (35081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2³⁵⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35910).

35084 is an abundant number, since it is smaller than the sum of its proper divisors (36736).

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

35084 is a wasteful number, since it uses less digits than its factorization.

35084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 35084 is about 187.3072342436. The cubic root of 35084 is about 32.7368107254.

It can be divided in two parts, 350 and 84, that added together give a palindrome (434).

The spelling of 35084 in words is "thirty-five thousand, eighty-four".