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214307521 is a prime number
BaseRepresentation
bin11001100011000…
…01001011000001
3112221020221122121
430301201023001
5414330320041
633133204241
75211404161
oct1461411301
9487227577
10214307521
11aaa7545a
125b930681
13355266ac
14206685a1
1513c337d1
hexcc612c1

214307521 has 2 divisors, whose sum is σ = 214307522. Its totient is φ = 214307520.

The previous prime is 214307519. The next prime is 214307531. The reversal of 214307521 is 125703412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119049921 + 95257600 = 10911^2 + 9760^2 .

It is a cyclic number.

It is not a de Polignac number, because 214307521 - 21 = 214307519 is a prime.

Together with 214307519, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (214307501) 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, 107153760 + 107153761.

It is an arithmetic number, because the mean of its divisors is an integer number (107153761).

Almost surely, 2214307521 is an apocalyptic number.

It is an amenable number.

214307521 is a deficient number, since it is larger than the sum of its proper divisors (1).

214307521 is an equidigital number, since it uses as much as digits as its factorization.

214307521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 214307521 is about 14639.2459163715. The cubic root of 214307521 is about 598.4287788466.

The spelling of 214307521 in words is "two hundred fourteen million, three hundred seven thousand, five hundred twenty-one".