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65378437 is a prime number
BaseRepresentation
bin1111100101100…
…1100010000101
311120000120100121
43321121202011
5113214102222
610253141541
71422464455
oct371314205
9146016317
1065378437
11339a4873
1219a8a8b1
1310711087
14897bd65
155b165c7
hex3e59885

65378437 has 2 divisors, whose sum is σ = 65378438. Its totient is φ = 65378436.

The previous prime is 65378419. The next prime is 65378461. The reversal of 65378437 is 73487356.

65378437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58997761 + 6380676 = 7681^2 + 2526^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65378437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65378393 and 65378402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65378407) 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, 32689218 + 32689219.

It is an arithmetic number, because the mean of its divisors is an integer number (32689219).

Almost surely, 265378437 is an apocalyptic number.

It is an amenable number.

65378437 is a deficient number, since it is larger than the sum of its proper divisors (1).

65378437 is an equidigital number, since it uses as much as digits as its factorization.

65378437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360, while the sum is 43.

The square root of 65378437 is about 8085.6933530774. The cubic root of 65378437 is about 402.8513696805.

The spelling of 65378437 in words is "sixty-five million, three hundred seventy-eight thousand, four hundred thirty-seven".