8036 has 18 divisors (see below), whose sum is σ = 16758. Its totient is φ = 3360.

The previous prime is 8017. The next prime is 8039. The reversal of 8036 is 6308.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 3136 = 70^2 + 56^2 .

8036 is a modest number, since divided by 36 gives 8 as remainder.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8039) by changing a digit.

8036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

2⁸⁰³⁶ 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 8036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379).

8036 is an abundant number, since it is smaller than the sum of its proper divisors (8722).

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

8036 is a wasteful number, since it uses less digits than its factorization.

8036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 8036 is about 89.6437393241. The cubic root of 8036 is about 20.0299551122.

Subtracting from 8036 its reverse (6308), we obtain a cube (1728 = 12³).

The spelling of 8036 in words is "eight thousand, thirty-six".