32364 has 36 divisors (see below), whose sum is σ = 87360. Its totient is φ = 10080.

The previous prime is 32363. The next prime is 32369. The reversal of 32364 is 46323.

32364 = T₃₂ + T₃₃ + ... + T₆₀.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3 + 2¹³ + 3² + 6⁵ + 4⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32364.

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 11 ways as a sum of consecutive naturals, for example, 1029 + ... + 1059.

2³²³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

32364 is an abundant number, since it is smaller than the sum of its proper divisors (54996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32364 is a wasteful number, since it uses less digits than its factorization.

32364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 65 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 32364 is about 179.8999722068. The cubic root of 32364 is about 31.8679453823.

Adding to 32364 its reverse (46323), we get a palindrome (78687).

It can be divided in two parts, 3236 and 4, that added together give a triangular number (3240 = T₈₀).

The spelling of 32364 in words is "thirty-two thousand, three hundred sixty-four".