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83137909 is a prime number
BaseRepresentation
bin1001111010010…
…01010101110101
312210102211202211
410331021111311
5132240403114
612125533421
72026442401
oct475112565
9183384684
1083137909
1142a24818
1223a14271
13142bb73a
14b082101
1574736c4
hex4f49575

83137909 has 2 divisors, whose sum is σ = 83137910. Its totient is φ = 83137908.

The previous prime is 83137861. The next prime is 83137913. The reversal of 83137909 is 90973138.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75864100 + 7273809 = 8710^2 + 2697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83137909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83137969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41568954 + 41568955.

It is an arithmetic number, because the mean of its divisors is an integer number (41568955).

Almost surely, 283137909 is an apocalyptic number.

It is an amenable number.

83137909 is a deficient number, since it is larger than the sum of its proper divisors (1).

83137909 is an equidigital number, since it uses as much as digits as its factorization.

83137909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 83137909 is about 9117.9991774512. Note that the first 3 decimals coincide. The cubic root of 83137909 is about 436.4485273590.

The spelling of 83137909 in words is "eighty-three million, one hundred thirty-seven thousand, nine hundred nine".