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83508353 is a prime number
BaseRepresentation
bin1001111101000…
…11110010000001
312211010122220222
410332203302001
5132334231403
612141512425
72032544405
oct476436201
9184118828
1083508353
1143158075
1223b72715
13143bb236
14b13b105
1574e8338
hex4fa3c81

83508353 has 2 divisors, whose sum is σ = 83508354. Its totient is φ = 83508352.

The previous prime is 83508319. The next prime is 83508409. The reversal of 83508353 is 35380538.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70425664 + 13082689 = 8392^2 + 3617^2 .

It is a cyclic number.

It is not a de Polignac number, because 83508353 - 26 = 83508289 is a prime.

It is a super-4 number, since 4×835083534 (a number of 33 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (83508053) 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, 41754176 + 41754177.

It is an arithmetic number, because the mean of its divisors is an integer number (41754177).

Almost surely, 283508353 is an apocalyptic number.

It is an amenable number.

83508353 is a deficient number, since it is larger than the sum of its proper divisors (1).

83508353 is an equidigital number, since it uses as much as digits as its factorization.

83508353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 83508353 is about 9138.2904856434. The cubic root of 83508353 is about 437.0958060658.

The spelling of 83508353 in words is "eighty-three million, five hundred eight thousand, three hundred fifty-three".