Search a number
-
+
33013921 is a prime number
BaseRepresentation
bin111110111110…
…0000010100001
32022010021120211
41331330002201
531422421141
63135334121
7550420333
oct175740241
968107524
1033013921
11176a9936
12b081341
136abba85
144555453
152d71d81
hex1f7c0a1

33013921 has 2 divisors, whose sum is σ = 33013922. Its totient is φ = 33013920.

The previous prime is 33013913. The next prime is 33013951. The reversal of 33013921 is 12931033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32901696 + 112225 = 5736^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 33013921 - 23 = 33013913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33013892 and 33013901.

It is not a weakly prime, because it can be changed into another prime (33013951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506960 + 16506961.

It is an arithmetic number, because the mean of its divisors is an integer number (16506961).

Almost surely, 233013921 is an apocalyptic number.

It is an amenable number.

33013921 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013921 is an equidigital number, since it uses as much as digits as its factorization.

33013921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 33013921 is about 5745.7741863042. The cubic root of 33013921 is about 320.7985297754.

Adding to 33013921 its reverse (12931033), we get a palindrome (45944954).

The spelling of 33013921 in words is "thirty-three million, thirteen thousand, nine hundred twenty-one".