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84114029 is a prime number
BaseRepresentation
bin1010000001101…
…11101001101101
312212021102202102
411000313221231
5133013122104
612202504445
72040646256
oct500675155
9185242672
1084114029
114353112a
1224205125
1314570b1c
14b257b2d
1575b7a1e
hex5037a6d

84114029 has 2 divisors, whose sum is σ = 84114030. Its totient is φ = 84114028.

The previous prime is 84113959. The next prime is 84114047. The reversal of 84114029 is 92041148.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68724100 + 15389929 = 8290^2 + 3923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-84114029 is a prime.

It is a super-2 number, since 2×841140292 = 14150339749225682, which contains 22 as substring.

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 = 84113992 and 84114010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84114089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42057014 + 42057015.

It is an arithmetic number, because the mean of its divisors is an integer number (42057015).

Almost surely, 284114029 is an apocalyptic number.

It is an amenable number.

84114029 is a deficient number, since it is larger than the sum of its proper divisors (1).

84114029 is an equidigital number, since it uses as much as digits as its factorization.

84114029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 84114029 is about 9171.3700721321. The cubic root of 84114029 is about 438.1499958877.

The spelling of 84114029 in words is "eighty-four million, one hundred fourteen thousand, twenty-nine".