31541 has 2 divisors, whose sum is σ = 31542. Its totient is φ = 31540.

The previous prime is 31531. The next prime is 31543. The reversal of 31541 is 14513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 14641 = 130^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 31541 - 2⁶ = 31477 is a prime.

Together with 31543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15770 + 15771.

It is an arithmetic number, because the mean of its divisors is an integer number (15771).

2³¹⁵⁴¹ is an apocalyptic number.

It is an amenable number.

31541 is a deficient number, since it is larger than the sum of its proper divisors (1).

31541 is an equidigital number, since it uses as much as digits as its factorization.

31541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60, while the sum is 14.

The square root of 31541 is about 177.5978603475. The cubic root of 31541 is about 31.5954942035.

The spelling of 31541 in words is "thirty-one thousand, five hundred forty-one".