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36807973 is a prime number
BaseRepresentation
bin1000110001101…
…0010100100101
32120021001001021
42030122110211
533410323343
63352531141
7624601606
oct214322445
976231037
1036807973
1119860414
12103b0ab1
137819987
144c61dad
1533710ed
hex231a525

36807973 has 2 divisors, whose sum is σ = 36807974. Its totient is φ = 36807972.

The previous prime is 36807971. The next prime is 36808019. The reversal of 36807973 is 37970863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28058209 + 8749764 = 5297^2 + 2958^2 .

It is a cyclic number.

It is not a de Polignac number, because 36807973 - 21 = 36807971 is a prime.

Together with 36807971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36807971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18403986 + 18403987.

It is an arithmetic number, because the mean of its divisors is an integer number (18403987).

Almost surely, 236807973 is an apocalyptic number.

It is an amenable number.

36807973 is a deficient number, since it is larger than the sum of its proper divisors (1).

36807973 is an equidigital number, since it uses as much as digits as its factorization.

36807973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 36807973 is about 6066.9574747150. The cubic root of 36807973 is about 332.6447196353.

The spelling of 36807973 in words is "thirty-six million, eight hundred seven thousand, nine hundred seventy-three".