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85429 is a prime number
BaseRepresentation
bin10100110110110101
311100012001
4110312311
510213204
61455301
7504031
oct246665
9140161
1085429
1159203
1241531
132cb66
14231c1
151a4a4
hex14db5

85429 has 2 divisors, whose sum is σ = 85430. Its totient is φ = 85428.

The previous prime is 85427. The next prime is 85439. The reversal of 85429 is 92458.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46225 + 39204 = 215^2 + 198^2 .

It is a cyclic number.

It is not a de Polignac number, because 85429 - 21 = 85427 is a prime.

It is a super-2 number, since 2×854292 = 14596228082, which contains 22 as substring.

Together with 85427, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 85397 and 85406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42714 + 42715.

It is an arithmetic number, because the mean of its divisors is an integer number (42715).

285429 is an apocalyptic number.

It is an amenable number.

85429 is a deficient number, since it is larger than the sum of its proper divisors (1).

85429 is an equidigital number, since it uses as much as digits as its factorization.

85429 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2880, while the sum is 28.

The square root of 85429 is about 292.2823976910. The cubic root of 85429 is about 44.0421428187.

The spelling of 85429 in words is "eighty-five thousand, four hundred twenty-nine".