31201 has 4 divisors (see below), whose sum is σ = 32004. Its totient is φ = 30400.

The previous prime is 31193. The next prime is 31219. The reversal of 31201 is 10213.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10213 = 7 ⋅1459.

It can be written as a sum of positive squares in 2 ways, for example, as 576 + 30625 = 24^2 + 175^2 .

It is a cyclic number.

It is not a de Polignac number, because 31201 - 2³ = 31193 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31231) 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, 340 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

2³¹²⁰¹ is an apocalyptic number.

It is an amenable number.

31201 is a deficient number, since it is larger than the sum of its proper divisors (803).

31201 is an equidigital number, since it uses as much as digits as its factorization.

31201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 31201 is about 176.6380479965. The cubic root of 31201 is about 31.4815546668.

Adding to 31201 its reverse (10213), we get a palindrome (41414).

It can be divided in two parts, 31 and 201, that added together give a palindrome (232).

The spelling of 31201 in words is "thirty-one thousand, two hundred one".