36261 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 22464.

The previous prime is 36251. The next prime is 36263. The reversal of 36261 is 16263.

It is a happy number.

36261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36261 - 2⁵ = 36229 is a prime.

36261 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36261.

It is not an unprimeable number, because it can be changed into a prime (36263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2³⁶²⁶¹ is an apocalyptic number.

It is an amenable number.

36261 is a deficient number, since it is larger than the sum of its proper divisors (21339).

36261 is a wasteful number, since it uses less digits than its factorization.

36261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 36261 is about 190.4232128707. The cubic root of 36261 is about 33.0988769954.

The spelling of 36261 in words is "thirty-six thousand, two hundred sixty-one".