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83806381 is a prime number
BaseRepresentation
bin1001111111011…
…00100010101101
312211200210202001
410333230202231
5132423301011
612152132301
72035225321
oct477544255
9184623661
1083806381
1143340a7a
1224097091
1314493a99
14b1b7981
1575567c1
hex4fec8ad

83806381 has 2 divisors, whose sum is σ = 83806382. Its totient is φ = 83806380.

The previous prime is 83806309. The next prime is 83806403. The reversal of 83806381 is 18360838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50282281 + 33524100 = 7091^2 + 5790^2 .

It is a cyclic number.

It is not a de Polignac number, because 83806381 - 219 = 83282093 is a prime.

It is a super-2 number, since 2×838063812 = 14047018992634322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83806381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83803381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41903190 + 41903191.

It is an arithmetic number, because the mean of its divisors is an integer number (41903191).

Almost surely, 283806381 is an apocalyptic number.

It is an amenable number.

83806381 is a deficient number, since it is larger than the sum of its proper divisors (1).

83806381 is an equidigital number, since it uses as much as digits as its factorization.

83806381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 83806381 is about 9154.5825136923. The cubic root of 83806381 is about 437.6151638050.

The spelling of 83806381 in words is "eighty-three million, eight hundred six thousand, three hundred eighty-one".