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61743029 is a prime number
BaseRepresentation
bin1110101110000…
…1111110110101
311022011212111212
43223201332311
5111301234104
610043211205
71346543555
oct353417665
9138155455
1061743029
11319414a7
1218816b05
13ca3a44a
1482b3165
15564936e
hex3ae1fb5

61743029 has 2 divisors, whose sum is σ = 61743030. Its totient is φ = 61743028.

The previous prime is 61742999. The next prime is 61743037. The reversal of 61743029 is 92034716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58140625 + 3602404 = 7625^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 61743029 - 220 = 60694453 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61742986 and 61743004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61743079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30871514 + 30871515.

It is an arithmetic number, because the mean of its divisors is an integer number (30871515).

Almost surely, 261743029 is an apocalyptic number.

It is an amenable number.

61743029 is a deficient number, since it is larger than the sum of its proper divisors (1).

61743029 is an equidigital number, since it uses as much as digits as its factorization.

61743029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 61743029 is about 7857.6732561236. The cubic root of 61743029 is about 395.2415955122.

The spelling of 61743029 in words is "sixty-one million, seven hundred forty-three thousand, twenty-nine".