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37140161 is a prime number
BaseRepresentation
bin1000110110101…
…1011011000001
32120212220201112
42031223123001
534001441121
63404013105
7630454232
oct215533301
976786645
1037140161
1119a67a53
1210531195
137904c36
144d0b089
1533d975b
hex236b6c1

37140161 has 2 divisors, whose sum is σ = 37140162. Its totient is φ = 37140160.

The previous prime is 37140113. The next prime is 37140163. The reversal of 37140161 is 16104173.

37140161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35331136 + 1809025 = 5944^2 + 1345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37140161 is a prime.

Together with 37140163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37140163) 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, 18570080 + 18570081.

It is an arithmetic number, because the mean of its divisors is an integer number (18570081).

Almost surely, 237140161 is an apocalyptic number.

It is an amenable number.

37140161 is a deficient number, since it is larger than the sum of its proper divisors (1).

37140161 is an equidigital number, since it uses as much as digits as its factorization.

37140161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 37140161 is about 6094.2728032145. The cubic root of 37140161 is about 333.6424185327.

The spelling of 37140161 in words is "thirty-seven million, one hundred forty thousand, one hundred sixty-one".