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330827921 is a prime number
BaseRepresentation
bin10011101110000…
…000100010010001
3212001111210120222
4103232000202101
51134142443141
652454442425
711124663614
oct2356004221
9761453528
10330827921
1115a81aa06
1292963415
1353702888
1431d1a17b
151e09d14b
hex13b80891

330827921 has 2 divisors, whose sum is σ = 330827922. Its totient is φ = 330827920.

The previous prime is 330827899. The next prime is 330827947. The reversal of 330827921 is 129728033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235960321 + 94867600 = 15361^2 + 9740^2 .

It is a cyclic number.

It is not a de Polignac number, because 330827921 - 218 = 330565777 is a prime.

It is a super-2 number, since 2×3308279212 = 218894226626364482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p17827460 and since 330827921 and 17827460 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (330827951) 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, 165413960 + 165413961.

It is an arithmetic number, because the mean of its divisors is an integer number (165413961).

Almost surely, 2330827921 is an apocalyptic number.

It is an amenable number.

330827921 is a deficient number, since it is larger than the sum of its proper divisors (1).

330827921 is an equidigital number, since it uses as much as digits as its factorization.

330827921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 330827921 is about 18188.6756252345. The cubic root of 330827921 is about 691.6197479053.

The spelling of 330827921 in words is "three hundred thirty million, eight hundred twenty-seven thousand, nine hundred twenty-one".