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37987141 is a prime number
BaseRepresentation
bin1001000011101…
…0001101000101
32122110221120011
42100322031011
534211042031
63434110221
7640612453
oct220721505
978427504
1037987141
111a496335
121087b371
137b405ca
14508b9d3
1535056b1
hex243a345

37987141 has 2 divisors, whose sum is σ = 37987142. Its totient is φ = 37987140.

The previous prime is 37987127. The next prime is 37987151. The reversal of 37987141 is 14178973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37564641 + 422500 = 6129^2 + 650^2 .

It is a cyclic number.

It is not a de Polignac number, because 37987141 - 29 = 37986629 is a prime.

It is a super-4 number, since 4×379871414 (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37987094 and 37987103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37987111) 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, 18993570 + 18993571.

It is an arithmetic number, because the mean of its divisors is an integer number (18993571).

Almost surely, 237987141 is an apocalyptic number.

It is an amenable number.

37987141 is a deficient number, since it is larger than the sum of its proper divisors (1).

37987141 is an equidigital number, since it uses as much as digits as its factorization.

37987141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 40.

The square root of 37987141 is about 6163.3709120902. The cubic root of 37987141 is about 336.1596139087.

The spelling of 37987141 in words is "thirty-seven million, nine hundred eighty-seven thousand, one hundred forty-one".