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36073 is a prime number
BaseRepresentation
bin1000110011101001
31211111001
420303221
52123243
6435001
7210112
oct106351
954431
1036073
1125114
1218a61
131355b
14d209
15aa4d
hex8ce9

36073 has 2 divisors, whose sum is σ = 36074. Its totient is φ = 36072.

The previous prime is 36067. The next prime is 36083. The reversal of 36073 is 37063.

It is a happy number.

36073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 729 = 188^2 + 27^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36073 is a prime.

It is a super-2 number, since 2×360732 = 2602522658, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 36073.

It is not a weakly prime, because it can be changed into another prime (36013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18036 + 18037.

It is an arithmetic number, because the mean of its divisors is an integer number (18037).

236073 is an apocalyptic number.

It is an amenable number.

36073 is a deficient number, since it is larger than the sum of its proper divisors (1).

36073 is an equidigital number, since it uses as much as digits as its factorization.

36073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 36073 is about 189.9289340780. The cubic root of 36073 is about 33.0415760025.

Subtracting 36073 from its reverse (37063), we obtain a triangular number (990 = T44).

The spelling of 36073 in words is "thirty-six thousand, seventy-three".