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85906333 is a prime number
BaseRepresentation
bin1010001111011…
…01001110011101
312222122111100001
411013231032131
5133443000313
612305134301
72062122532
oct507551635
9188574301
1085906333
1144545777
122492a391
1314a4a866
14b5a2d89
15781dadd
hex51ed39d

85906333 has 2 divisors, whose sum is σ = 85906334. Its totient is φ = 85906332.

The previous prime is 85906243. The next prime is 85906349. The reversal of 85906333 is 33360958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64032004 + 21874329 = 8002^2 + 4677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85906333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85906292 and 85906301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85906133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42953166 + 42953167.

It is an arithmetic number, because the mean of its divisors is an integer number (42953167).

Almost surely, 285906333 is an apocalyptic number.

It is an amenable number.

85906333 is a deficient number, since it is larger than the sum of its proper divisors (1).

85906333 is an equidigital number, since it uses as much as digits as its factorization.

85906333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 85906333 is about 9268.5669334585. The cubic root of 85906333 is about 441.2401874087.

The spelling of 85906333 in words is "eighty-five million, nine hundred six thousand, three hundred thirty-three".