36007 has 2 divisors, whose sum is σ = 36008. Its totient is φ = 36006.

The previous prime is 35999. The next prime is 36011. The reversal of 36007 is 70063.

It is a happy number.

36007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36007 - 2³ = 35999 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18003 + 18004.

It is an arithmetic number, because the mean of its divisors is an integer number (18004).

2³⁶⁰⁰⁷ is an apocalyptic number.

36007 is a deficient number, since it is larger than the sum of its proper divisors (1).

36007 is an equidigital number, since it uses as much as digits as its factorization.

36007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 36007 is about 189.7551053332. The cubic root of 36007 is about 33.0214124883.

It can be divided in two parts, 3600 and 7, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 36007 in words is "thirty-six thousand, seven".