Search a number
-
+
33828661 is a prime number
BaseRepresentation
bin1000000100001…
…0111100110101
32100122200012101
42001002330311
532130004121
63205022101
7560352556
oct201027465
970580171
1033828661
1118105a79
12b3b4931
137015879
1446c832d
152e83491
hex2042f35

33828661 has 2 divisors, whose sum is σ = 33828662. Its totient is φ = 33828660.

The previous prime is 33828647. The next prime is 33828671. The reversal of 33828661 is 16682833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33709636 + 119025 = 5806^2 + 345^2 .

It is a cyclic number.

It is not a de Polignac number, because 33828661 - 29 = 33828149 is a prime.

It is a super-2 number, since 2×338286612 = 2288756610105842, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33828661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33828601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16914330 + 16914331.

It is an arithmetic number, because the mean of its divisors is an integer number (16914331).

Almost surely, 233828661 is an apocalyptic number.

It is an amenable number.

33828661 is a deficient number, since it is larger than the sum of its proper divisors (1).

33828661 is an equidigital number, since it uses as much as digits as its factorization.

33828661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 37.

The square root of 33828661 is about 5816.2411401179. The cubic root of 33828661 is about 323.4160753512.

The spelling of 33828661 in words is "thirty-three million, eight hundred twenty-eight thousand, six hundred sixty-one".