31601 has 2 divisors, whose sum is σ = 31602. Its totient is φ = 31600.

The previous prime is 31583. The next prime is 31607. The reversal of 31601 is 10613.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 625 = 176^2 + 25^2 .

It is an emirp because it is prime and its reverse (10613) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31601 - 2¹⁰ = 30577 is a prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (31607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15800 + 15801.

It is an arithmetic number, because the mean of its divisors is an integer number (15801).

2³¹⁶⁰¹ is an apocalyptic number.

31601 is the 80-th centered decagonal number.

It is an amenable number.

31601 is a deficient number, since it is larger than the sum of its proper divisors (1).

31601 is an equidigital number, since it uses as much as digits as its factorization.

31601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 31601 is about 177.7667010438. The cubic root of 31601 is about 31.6155160676.

The spelling of 31601 in words is "thirty-one thousand, six hundred one".