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37814113 is a prime number
BaseRepresentation
bin1001000000111…
…1111101100001
32122011011012201
42100033331201
534140022423
63430253201
7636262141
oct220177541
978134181
1037814113
111a388337
12107b7201
137aac91c
145044921
1534be2ad
hex240ff61

37814113 has 2 divisors, whose sum is σ = 37814114. Its totient is φ = 37814112.

The previous prime is 37814107. The next prime is 37814129. The reversal of 37814113 is 31141873.

37814113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28376929 + 9437184 = 5327^2 + 3072^2 .

It is a cyclic number.

It is not a de Polignac number, because 37814113 - 213 = 37805921 is a prime.

It is not a weakly prime, because it can be changed into another prime (37814213) 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, 18907056 + 18907057.

It is an arithmetic number, because the mean of its divisors is an integer number (18907057).

Almost surely, 237814113 is an apocalyptic number.

It is an amenable number.

37814113 is a deficient number, since it is larger than the sum of its proper divisors (1).

37814113 is an equidigital number, since it uses as much as digits as its factorization.

37814113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

The square root of 37814113 is about 6149.3180922766. The cubic root of 37814113 is about 335.6484447741.

Adding to 37814113 its reverse (31141873), we get a palindrome (68955986).

The spelling of 37814113 in words is "thirty-seven million, eight hundred fourteen thousand, one hundred thirteen".