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33307121 is a prime number
BaseRepresentation
bin111111100001…
…1100111110001
32022200011210002
41333003213301
532011311441
63145515345
7553051211
oct177034761
968604702
1033307121
111788a151
12b1a2b55
136b92373
1445d0241
152dcdb9b
hex1fc39f1

33307121 has 2 divisors, whose sum is σ = 33307122. Its totient is φ = 33307120.

The previous prime is 33307103. The next prime is 33307123. The reversal of 33307121 is 12170333.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17106496 + 16200625 = 4136^2 + 4025^2 .

It is a cyclic number.

It is not a de Polignac number, because 33307121 - 214 = 33290737 is a prime.

It is a super-2 number, since 2×333071212 = 2218728618617282, which contains 22 as substring.

Together with 33307123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33307093 and 33307102.

It is not a weakly prime, because it can be changed into another prime (33307123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16653560 + 16653561.

It is an arithmetic number, because the mean of its divisors is an integer number (16653561).

Almost surely, 233307121 is an apocalyptic number.

It is an amenable number.

33307121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33307121 is an equidigital number, since it uses as much as digits as its factorization.

33307121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 33307121 is about 5771.2321907891. The cubic root of 33307121 is about 321.7454136478.

Adding to 33307121 its reverse (12170333), we get a palindrome (45477454).

The spelling of 33307121 in words is "thirty-three million, three hundred seven thousand, one hundred twenty-one".