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65629217 is a prime number
BaseRepresentation
bin1111101001011…
…0110000100001
311120111022100202
43322112300201
5113300113332
610302354545
71424560553
oct372266041
9146438322
1065629217
1134056225
1219b8ba55
131079b274
148a054d3
155b65a62
hex3e96c21

65629217 has 2 divisors, whose sum is σ = 65629218. Its totient is φ = 65629216.

The previous prime is 65629153. The next prime is 65629219. The reversal of 65629217 is 71292656.

It is a happy number.

65629217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42981136 + 22648081 = 6556^2 + 4759^2 .

It is a cyclic number.

It is not a de Polignac number, because 65629217 - 26 = 65629153 is a prime.

It is a super-3 number, since 3×656292173 (a number of 24 digits) contains 333 as substring.

Together with 65629219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (65629219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32814608 + 32814609.

It is an arithmetic number, because the mean of its divisors is an integer number (32814609).

Almost surely, 265629217 is an apocalyptic number.

It is an amenable number.

65629217 is a deficient number, since it is larger than the sum of its proper divisors (1).

65629217 is an equidigital number, since it uses as much as digits as its factorization.

65629217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 65629217 is about 8101.1861477194. The cubic root of 65629217 is about 403.3658011034.

The spelling of 65629217 in words is "sixty-five million, six hundred twenty-nine thousand, two hundred seventeen".