32845 has 4 divisors (see below), whose sum is σ = 39420. Its totient is φ = 26272.

The previous prime is 32843. The next prime is 32869. The reversal of 32845 is 54823.

32845 = T₇₆ + T₇₇ + ... + T₈₅.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 54823 = 73 ⋅751.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 11236 = 147^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 32845 - 2¹ = 32843 is a prime.

32845 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3280 + ... + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (9855).

32845 is a Friedman number, since it can be written as 5*(8+3^(4*2)), using all its digits and the basic arithmetic operations.

2³²⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

32845 is a deficient number, since it is larger than the sum of its proper divisors (6575).

32845 is an equidigital number, since it uses as much as digits as its factorization.

32845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574.

The product of its digits is 960, while the sum is 22.

The square root of 32845 is about 181.2318956475. The cubic root of 32845 is about 32.0250454966.

Subtracting from 32845 its sum of digits (22), we obtain a palindrome (32823).

It can be divided in two parts, 328 and 45, that added together give a palindrome (373).

The spelling of 32845 in words is "thirty-two thousand, eight hundred forty-five".