35090 has 24 divisors (see below), whose sum is σ = 71820. Its totient is φ = 12320.

The previous prime is 35089. The next prime is 35099. The reversal of 35090 is 9053.

It can be written as a sum of positive squares in 2 ways, for example, as 34969 + 121 = 187^2 + 11^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (35099) 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 11 ways as a sum of consecutive naturals, for example, 1196 + ... + 1224.

2³⁵⁰⁹⁰ is an apocalyptic number.

35090 is an abundant number, since it is smaller than the sum of its proper divisors (36730).

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 (35910).

35090 is a wasteful number, since it uses less digits than its factorization.

35090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 35090 is about 187.3232500252. The cubic root of 35090 is about 32.7386768151.

The spelling of 35090 in words is "thirty-five thousand, ninety".