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97953841 is a prime number
BaseRepresentation
bin1011101011010…
…10100000110001
320211022120102001
411311222200301
5200034010331
613415254001
72266410466
oct565524061
9224276361
1097953841
1150324197
122897a301
13173a836b
14d01b66d
1588ed561
hex5d6a831

97953841 has 2 divisors, whose sum is σ = 97953842. Its totient is φ = 97953840.

The previous prime is 97953833. The next prime is 97953853. The reversal of 97953841 is 14835979.

It is a happy number.

It is the 4041-st star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69555600 + 28398241 = 8340^2 + 5329^2 .

It is a cyclic number.

It is not a de Polignac number, because 97953841 - 23 = 97953833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97953791 and 97953800.

It is not a weakly prime, because it can be changed into another prime (97953041) 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, 48976920 + 48976921.

It is an arithmetic number, because the mean of its divisors is an integer number (48976921).

Almost surely, 297953841 is an apocalyptic number.

It is an amenable number.

97953841 is a deficient number, since it is larger than the sum of its proper divisors (1).

97953841 is an equidigital number, since it uses as much as digits as its factorization.

97953841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 46.

The square root of 97953841 is about 9897.1632804557. The cubic root of 97953841 is about 460.9712324202.

The spelling of 97953841 in words is "ninety-seven million, nine hundred fifty-three thousand, eight hundred forty-one".