36067 has 2 divisors, whose sum is σ = 36068. Its totient is φ = 36066.

The previous prime is 36061. The next prime is 36073. The reversal of 36067 is 76063.

It is a happy number.

36067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

36067 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (36061) and next prime (36073).

It is a cyclic number.

It is not a de Polignac number, because 36067 - 2^{11} = 34019 is a prime.

It is a super-3 number, since 3×36067^{3} = 140750943338289, which contains 333 as substring.

36067 is a lucky number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (36061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18033 + 18034.

It is an arithmetic number, because the mean of its divisors is an integer number (18034).

2^{36067} is an apocalyptic number.

36067 is a deficient number, since it is larger than the sum of its proper divisors (1).

36067 is an equidigital number, since it uses as much as digits as its factorization.

36067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 36067 is about 189.9131380395. The cubic root of 36067 is about 33.0397439726.

The spelling of 36067 in words is "thirty-six thousand, sixty-seven".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.054 sec. • engine limits •