36838033 has 8 divisors (see below), whose sum is σ = 38488680. Its totient is φ = 35212800.

The previous prime is 36838003. The next prime is 36838037. The reversal of 36838033 is 33083863.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 12552849 = 4928^2 + 3543^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36838033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36838033.

It is not an unprimeable number, because it can be changed into a prime (36838037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3360 + ... + 9217.

It is an arithmetic number, because the mean of its divisors is an integer number (4811085).

Almost surely, 2^36838033 is an apocalyptic number.

It is an amenable number.

36838033 is a deficient number, since it is larger than the sum of its proper divisors (1650647).

36838033 is a wasteful number, since it uses less digits than its factorization.

36838033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707.

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 36838033 is about 6069.4343229003. The cubic root of 36838033 is about 332.7352487485.

The spelling of 36838033 in words is "thirty-six million, eight hundred thirty-eight thousand, thirty-three".