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36746141 is a prime number
BaseRepresentation
bin1000110000101…
…1001110011101
32120010220020012
42030023032131
533401334031
63351333005
7624223415
oct214131635
976126205
1036746141
1119818a13
1210381165
1377c77a3
144c47645
15335cb2b
hex230b39d

36746141 has 2 divisors, whose sum is σ = 36746142. Its totient is φ = 36746140.

The previous prime is 36746137. The next prime is 36746153. The reversal of 36746141 is 14164763.

36746141 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., 36602500 + 143641 = 6050^2 + 379^2 .

It is an emirp because it is prime and its reverse (14164763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36746141 - 22 = 36746137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36746098 and 36746107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36746041) 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, 18373070 + 18373071.

It is an arithmetic number, because the mean of its divisors is an integer number (18373071).

Almost surely, 236746141 is an apocalyptic number.

It is an amenable number.

36746141 is a deficient number, since it is larger than the sum of its proper divisors (1).

36746141 is an equidigital number, since it uses as much as digits as its factorization.

36746141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 32.

The square root of 36746141 is about 6061.8595331796. The cubic root of 36746141 is about 332.4583504467.

The spelling of 36746141 in words is "thirty-six million, seven hundred forty-six thousand, one hundred forty-one".