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827418121 is a prime number
BaseRepresentation
bin110001010100010…
…110011000001001
32010122221012021121
4301110112120021
53143304334441
6214034235241
726334636505
oct6124263011
92118835247
10827418121
11395068532
121b1125b21
1310256292a
147bc65305
154c990dd1
hex31516609

827418121 has 2 divisors, whose sum is σ = 827418122. Its totient is φ = 827418120.

The previous prime is 827418107. The next prime is 827418131. The reversal of 827418121 is 121814728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 718508025 + 108910096 = 26805^2 + 10436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-827418121 is a prime.

It is not a weakly prime, because it can be changed into another prime (827418131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413709060 + 413709061.

It is an arithmetic number, because the mean of its divisors is an integer number (413709061).

Almost surely, 2827418121 is an apocalyptic number.

It is an amenable number.

827418121 is a deficient number, since it is larger than the sum of its proper divisors (1).

827418121 is an equidigital number, since it uses as much as digits as its factorization.

827418121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7168, while the sum is 34.

The square root of 827418121 is about 28764.8765163350. The cubic root of 827418121 is about 938.8041685808.

The spelling of 827418121 in words is "eight hundred twenty-seven million, four hundred eighteen thousand, one hundred twenty-one".