36361 has 4 divisors (see below), whose sum is σ = 39172. Its totient is φ = 33552.

The previous prime is 36353. The next prime is 36373. The reversal of 36361 is 16363.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15625 + 20736 = 125^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 36361 - 2³ = 36353 is a prime.

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

It is a Duffinian number.

36361 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1386 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (9793).

2³⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

36361 is a deficient number, since it is larger than the sum of its proper divisors (2811).

36361 is a wasteful number, since it uses less digits than its factorization.

36361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810.

The product of its digits is 324, while the sum is 19.

The square root of 36361 is about 190.6856051201. The cubic root of 36361 is about 33.1292755843.

It can be divided in two parts, 363 and 61, that added together give a palindrome (424).

The spelling of 36361 in words is "thirty-six thousand, three hundred sixty-one".