32505 has 16 divisors (see below), whose sum is σ = 57024. Its totient is φ = 15680.

The previous prime is 32503. The next prime is 32507. The reversal of 32505 is 50523.

Added to its reverse (50523) it gives a triangular number (83028 = T₄₀₇).

32505 = T₃ + T₄ + ... + T₅₇.

32505 is nontrivially palindromic in base 14.

32505 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (32503) and next prime (32507).

It is not a de Polignac number, because 32505 - 2¹ = 32503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

32505 is strictly pandigital in base 6.

It is a Curzon number.

32505 is a nontrivial repdigit in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

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 32505.

It is not an unprimeable number, because it can be changed into a prime (32503) 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, 67 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

2³²⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

32505 is a deficient number, since it is larger than the sum of its proper divisors (24519).

32505 is a wasteful number, since it uses less digits than its factorization.

32505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 32505 is about 180.2914307448. The cubic root of 32505 is about 31.9141579499.

Adding to 32505 its reverse (50523), we get a triangular number (83028 = T₄₀₇).

The spelling of 32505 in words is "thirty-two thousand, five hundred five".