32573 has 2 divisors, whose sum is σ = 32574. Its totient is φ = 32572.

The previous prime is 32569. The next prime is 32579. The reversal of 32573 is 37523.

32573 is nontrivially palindromic in base 11.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17689 + 14884 = 133^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 32573 - 2² = 32569 is a prime.

It is a super-2 number, since 2×32573² = 2122000658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

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 32573.

It is not a weakly prime, because it can be changed into another prime (32579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16286 + 16287.

It is an arithmetic number, because the mean of its divisors is an integer number (16287).

2³²⁵⁷³ is an apocalyptic number.

It is an amenable number.

32573 is a deficient number, since it is larger than the sum of its proper divisors (1).

32573 is an equidigital number, since it uses as much as digits as its factorization.

32573 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 20.

The square root of 32573 is about 180.4799157801. The cubic root of 32573 is about 31.9363971047.

Subtracting 32573 from its reverse (37523), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 32 and 573, that multiplied together give a triangular number (18336 = T₁₉₁).

The spelling of 32573 in words is "thirty-two thousand, five hundred seventy-three".