32345 has 4 divisors (see below), whose sum is σ = 38820. Its totient is φ = 25872.

The previous prime is 32341. The next prime is 32353. The reversal of 32345 is 54323.

32345 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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 5776 + 26569 = 76^2 + 163^2 .

It is a cyclic number.

It is not a de Polignac number, because 32345 - 2² = 32341 is a prime.

It is an Ulam number.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (32341) 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, 3230 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (9705).

2³²³⁴⁵ is an apocalyptic number.

It is an amenable number.

32345 is a deficient number, since it is larger than the sum of its proper divisors (6475).

32345 is an equidigital number, since it uses as much as digits as its factorization.

32345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474.

The product of its digits is 360, while the sum is 17.

The square root of 32345 is about 179.8471573309. The cubic root of 32345 is about 31.8617079014.

Adding to 32345 its reverse (54323), we get a palindrome (86668).

It can be divided in two parts, 323 and 45, that multiplied together give a triangular number (14535 = T₁₇₀).

The spelling of 32345 in words is "thirty-two thousand, three hundred forty-five".