32521 has 4 divisors (see below), whose sum is σ = 34452. Its totient is φ = 30592.

The previous prime is 32507. The next prime is 32531. The reversal of 32521 is 12523.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12523 = 7 ⋅1789.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 5625 = 164^2 + 75^2 .

It is a cyclic number.

It is not a de Polignac number, because 32521 - 2⁹ = 32009 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (32531) 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, 940 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (8613).

2³²⁵²¹ is an apocalyptic number.

It is an amenable number.

32521 is a deficient number, since it is larger than the sum of its proper divisors (1931).

32521 is a wasteful number, since it uses less digits than its factorization.

32521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930.

The product of its digits is 60, while the sum is 13.

The square root of 32521 is about 180.3357978883. The cubic root of 32521 is about 31.9193934806.

The spelling of 32521 in words is "thirty-two thousand, five hundred twenty-one".