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8752129 is a prime number
BaseRepresentation
bin100001011000…
…110000000001
3121110122122221
4201120300001
54220032004
6511331041
7134251261
oct41306001
917418587
108752129
114a38671
122b20a81
131a75899
14123b7a1
15b7d354
hex858c01

8752129 has 2 divisors, whose sum is σ = 8752130. Its totient is φ = 8752128.

The previous prime is 8752123. The next prime is 8752153. The reversal of 8752129 is 9212578.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7711729 + 1040400 = 2777^2 + 1020^2 .

It is a cyclic number.

It is not a de Polignac number, because 8752129 - 213 = 8743937 is a prime.

8752129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8752094 and 8752103.

It is not a weakly prime, because it can be changed into another prime (8752123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4376064 + 4376065.

It is an arithmetic number, because the mean of its divisors is an integer number (4376065).

Almost surely, 28752129 is an apocalyptic number.

It is an amenable number.

8752129 is a deficient number, since it is larger than the sum of its proper divisors (1).

8752129 is an equidigital number, since it uses as much as digits as its factorization.

8752129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 34.

The square root of 8752129 is about 2958.3997363440. The cubic root of 8752129 is about 206.0809764283.

The spelling of 8752129 in words is "eight million, seven hundred fifty-two thousand, one hundred twenty-nine".