32145 has 8 divisors (see below), whose sum is σ = 51456. Its totient is φ = 17136.

The previous prime is 32143. The next prime is 32159. The reversal of 32145 is 54123.

32145 = T₁₃ + T₁₄ + ... + T₅₇.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 32145 - 2¹ = 32143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 2143 = 32145 / (3 + 2 + 1 + 4 + 5).

It is an Ulam number.

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

32145 is a lucky number.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32145.

It is not an unprimeable number, because it can be changed into a prime (32141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (6432).

2³²¹⁴⁵ is an apocalyptic number.

It is an amenable number.

32145 is a deficient number, since it is larger than the sum of its proper divisors (19311).

32145 is a wasteful number, since it uses less digits than its factorization.

32145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151.

The product of its digits is 120, while the sum is 15.

The square root of 32145 is about 179.2902674436. The cubic root of 32145 is about 31.7959015326.

Adding to 32145 its reverse (54123), we get a palindrome (86268).

The spelling of 32145 in words is "thirty-two thousand, one hundred forty-five".