35800 has 24 divisors (see below), whose sum is σ = 83700. Its totient is φ = 14240.

The previous prime is 35797. The next prime is 35801. The reversal of 35800 is 853.

35800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111 + ... + 289.

2³⁵⁸⁰⁰ 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 35800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850).

35800 is an abundant number, since it is smaller than the sum of its proper divisors (47900).

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

35800 is a wasteful number, since it uses less digits than its factorization.

35800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 35800 is about 189.2088792842. The cubic root of 35800 is about 32.9580121024.

The spelling of 35800 in words is "thirty-five thousand, eight hundred".