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37285121 is a prime number
BaseRepresentation
bin1000111000111…
…0110100000001
32121011021120102
42032032310001
534021110441
63411052145
7631626656
oct216166401
977137512
1037285121
111a056955
12105a1055
137955c03
144d47c2d
15341769b
hex238ed01

37285121 has 2 divisors, whose sum is σ = 37285122. Its totient is φ = 37285120.

The previous prime is 37285117. The next prime is 37285169. The reversal of 37285121 is 12158273.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24611521 + 12673600 = 4961^2 + 3560^2 .

It is an emirp because it is prime and its reverse (12158273) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37285121 - 22 = 37285117 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37285181) 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, 18642560 + 18642561.

It is an arithmetic number, because the mean of its divisors is an integer number (18642561).

Almost surely, 237285121 is an apocalyptic number.

It is an amenable number.

37285121 is a deficient number, since it is larger than the sum of its proper divisors (1).

37285121 is an equidigital number, since it uses as much as digits as its factorization.

37285121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 29.

The square root of 37285121 is about 6106.1543544198. The cubic root of 37285121 is about 334.0759296459.

The spelling of 37285121 in words is "thirty-seven million, two hundred eighty-five thousand, one hundred twenty-one".