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97137121 is a prime number
BaseRepresentation
bin1011100101000…
…11000111100001
320202210002002011
411302203013201
5144331341441
613345552521
72256436414
oct562430741
9222702064
1097137121
114a916614
1228645741
13171806b3
14cc87b7b
1587db581
hex5ca31e1

97137121 has 2 divisors, whose sum is σ = 97137122. Its totient is φ = 97137120.

The previous prime is 97137113. The next prime is 97137151. The reversal of 97137121 is 12173179.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93392896 + 3744225 = 9664^2 + 1935^2 .

It is an emirp because it is prime and its reverse (12173179) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97137121 - 23 = 97137113 is a prime.

It is not a weakly prime, because it can be changed into another prime (97137151) 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, 48568560 + 48568561.

It is an arithmetic number, because the mean of its divisors is an integer number (48568561).

Almost surely, 297137121 is an apocalyptic number.

It is an amenable number.

97137121 is a deficient number, since it is larger than the sum of its proper divisors (1).

97137121 is an equidigital number, since it uses as much as digits as its factorization.

97137121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 31.

The square root of 97137121 is about 9855.8166074659. The cubic root of 97137121 is about 459.6864924303.

The spelling of 97137121 in words is "ninety-seven million, one hundred thirty-seven thousand, one hundred twenty-one".