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331284257 is a prime number
BaseRepresentation
bin10011101111101…
…111111100100001
3212002100222120022
4103233233330201
51134302044012
652512323225
711131604213
oct2357577441
9762328508
10331284257
11160001847
1292b43515
13538324b5
1431dd85b3
151e13d472
hex13beff21

331284257 has 2 divisors, whose sum is σ = 331284258. Its totient is φ = 331284256.

The previous prime is 331284251. The next prime is 331284299. The reversal of 331284257 is 752482133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331203601 + 80656 = 18199^2 + 284^2 .

It is a cyclic number.

It is not a de Polignac number, because 331284257 - 24 = 331284241 is a prime.

It is not a weakly prime, because it can be changed into another prime (331284251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165642128 + 165642129.

It is an arithmetic number, because the mean of its divisors is an integer number (165642129).

Almost surely, 2331284257 is an apocalyptic number.

It is an amenable number.

331284257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331284257 is an equidigital number, since it uses as much as digits as its factorization.

331284257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 35.

The square root of 331284257 is about 18201.2158110386. The cubic root of 331284257 is about 691.9376029642.

The spelling of 331284257 in words is "three hundred thirty-one million, two hundred eighty-four thousand, two hundred fifty-seven".