36529 has 2 divisors, whose sum is σ = 36530. Its totient is φ = 36528.

The previous prime is 36527. The next prime is 36541. The reversal of 36529 is 92563.

36529 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., 34225 + 2304 = 185^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 36529 - 2¹ = 36527 is a prime.

Together with 36527, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

36529 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (36523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18264 + 18265.

It is an arithmetic number, because the mean of its divisors is an integer number (18265).

2³⁶⁵²⁹ is an apocalyptic number.

It is an amenable number.

36529 is a deficient number, since it is larger than the sum of its proper divisors (1).

36529 is an equidigital number, since it uses as much as digits as its factorization.

36529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620, while the sum is 25.

The square root of 36529 is about 191.1256131449. The cubic root of 36529 is about 33.1802199882.

It can be divided in two parts, 365 and 29, that multiplied together give a triangular number (10585 = T₁₄₅).

The spelling of 36529 in words is "thirty-six thousand, five hundred twenty-nine".