32361 has 16 divisors (see below), whose sum is σ = 52224. Its totient is φ = 17424.

The previous prime is 32359. The next prime is 32363. The reversal of 32361 is 16323.

It is an interprime number because it is at equal distance from previous prime (32359) and next prime (32363).

It is not a de Polignac number, because 32361 - 2¹ = 32359 is a prime.

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

It is a plaindrome in base 11 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 32361.

It is not an unprimeable number, because it can be changed into a prime (32363) 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, 450 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (3264).

2³²³⁶¹ is an apocalyptic number.

It is an amenable number.

32361 is a deficient number, since it is larger than the sum of its proper divisors (19863).

32361 is a wasteful number, since it uses less digits than its factorization.

32361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its digits is 108, while the sum is 15.

The square root of 32361 is about 179.8916340467. The cubic root of 32361 is about 31.8669606792.

Adding to 32361 its reverse (16323), we get a palindrome (48684).

It can be divided in two parts, 32 and 361, that added together give a palindrome (393).

The spelling of 32361 in words is "thirty-two thousand, three hundred sixty-one".