32531 has 2 divisors, whose sum is σ = 32532. Its totient is φ = 32530.

The previous prime is 32507. The next prime is 32533. The reversal of 32531 is 13523.

It is a strong prime.

It is an emirp because it is prime and its reverse (13523) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32531 - 2⁶ = 32467 is a prime.

It is a super-2 number, since 2×32531² = 2116531922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 32533, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32531.

It is not a weakly prime, because it can be changed into another prime (32533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16265 + 16266.

It is an arithmetic number, because the mean of its divisors is an integer number (16266).

2³²⁵³¹ is an apocalyptic number.

32531 is a deficient number, since it is larger than the sum of its proper divisors (1).

32531 is an equidigital number, since it uses as much as digits as its factorization.

32531 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90, while the sum is 14.

The square root of 32531 is about 180.3635218108. The cubic root of 32531 is about 31.9226648152.

The spelling of 32531 in words is "thirty-two thousand, five hundred thirty-one".