36004 has 6 divisors (see below), whose sum is σ = 63014. Its totient is φ = 18000.

The previous prime is 35999. The next prime is 36007. The reversal of 36004 is 40063.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 10404 = 160^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (36007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4497 + ... + 4504.

2³⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

36004 is a deficient number, since it is larger than the sum of its proper divisors (27010).

36004 is a wasteful number, since it uses less digits than its factorization.

36004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 36004 is about 189.7472002428. The cubic root of 36004 is about 33.0204953797.

Adding to 36004 its reverse (40063), we get a palindrome (76067).

It can be divided in two parts, 3600 and 4, that multiplied together give a square (14400 = 120²).

The spelling of 36004 in words is "thirty-six thousand, four", and thus it is an eban number.