33120413 has 8 divisors (see below), whose sum is σ = 33732600. Its totient is φ = 32514048.

The previous prime is 33120397. The next prime is 33120419. The reversal of 33120413 is 31402133.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 550564 + 32569849 = 742^2 + 5707^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 33120413 - 2⁴ = 33120397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33120391 and 33120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120419) 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, 10973 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (4216575).

Almost surely, 2^33120413 is an apocalyptic number.

It is an amenable number.

33120413 is a deficient number, since it is larger than the sum of its proper divisors (612187).

33120413 is a wasteful number, since it uses less digits than its factorization.

33120413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 33120413 is about 5755.0337097188. The cubic root of 33120413 is about 321.1430895792.

Adding to 33120413 its reverse (31402133), we get a palindrome (64522546).

It can be divided in two parts, 33120 and 413, that added together give a palindrome (33533).

The spelling of 33120413 in words is "thirty-three million, one hundred twenty thousand, four hundred thirteen".