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83758013 is a prime number
BaseRepresentation
bin1001111111000…
…00101110111101
312211121100101122
410333200232331
5132420224023
612151120325
72034634313
oct477405675
9184540348
1083758013
11433086a9
12240730a5
1314477a71
14b1a40b3
1575472c8
hex4fe0bbd

83758013 has 2 divisors, whose sum is σ = 83758014. Its totient is φ = 83758012.

The previous prime is 83758009. The next prime is 83758021. The reversal of 83758013 is 31085738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66227044 + 17530969 = 8138^2 + 4187^2 .

It is a cyclic number.

It is not a de Polignac number, because 83758013 - 22 = 83758009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83758043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41879006 + 41879007.

It is an arithmetic number, because the mean of its divisors is an integer number (41879007).

Almost surely, 283758013 is an apocalyptic number.

It is an amenable number.

83758013 is a deficient number, since it is larger than the sum of its proper divisors (1).

83758013 is an equidigital number, since it uses as much as digits as its factorization.

83758013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 83758013 is about 9151.9403953479. The cubic root of 83758013 is about 437.5309592241.

The spelling of 83758013 in words is "eighty-three million, seven hundred fifty-eight thousand, thirteen".