35816 has 24 divisors (see below), whose sum is σ = 75810. Its totient is φ = 15840.

The previous prime is 35809. The next prime is 35831. The reversal of 35816 is 61853.

35816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 12100 = 154^2 + 110^2 .

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 35791 and 35800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 950 + ... + 986.

2³⁵⁸¹⁶ 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 35816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37905).

35816 is an abundant number, since it is smaller than the sum of its proper divisors (39994).

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

35816 is a wasteful number, since it uses less digits than its factorization.

35816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 35816 is about 189.2511558749. The cubic root of 35816 is about 32.9629213171.

The spelling of 35816 in words is "thirty-five thousand, eight hundred sixteen".