31901 has 8 divisors (see below), whose sum is σ = 35520. Its totient is φ = 28512.

The previous prime is 31891. The next prime is 31907. The reversal of 31901 is 10913.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (4440).

2³¹⁹⁰¹ is an apocalyptic number.

31901 is the 146-th pentagonal number.

It is an amenable number.

31901 is a deficient number, since it is larger than the sum of its proper divisors (3619).

31901 is a wasteful number, since it uses less digits than its factorization.

31901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 31901 is about 178.6085104355. The cubic root of 31901 is about 31.7152470712.

The spelling of 31901 in words is "thirty-one thousand, nine hundred one".