Search a number
-
+
31331 = 171997
BaseRepresentation
bin111101001100011
31120222102
413221203
52000311
6401015
7160226
oct75143
946872
1031331
11215a3
121616b
1311351
14b5bd
15943b
hex7a63

31331 has 8 divisors (see below), whose sum is σ = 35280. Its totient is φ = 27648.

The previous prime is 31327. The next prime is 31333. The reversal of 31331 is 13313.

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

It is a cyclic number.

It is not a de Polignac number, because 31331 - 22 = 31327 is a prime.

It is a super-2 number, since 2×313312 = 1963263122, which contains 22 as substring.

31331 is a repfigit number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31331.

It is not an unprimeable number, because it can be changed into a prime (31333) 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, 275 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

231331 is an apocalyptic number.

31331 is a deficient number, since it is larger than the sum of its proper divisors (3949).

31331 is a wasteful number, since it uses less digits than its factorization.

31331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its digits is 27, while the sum is 11.

The square root of 31331 is about 177.0056496273. The cubic root of 31331 is about 31.5252170627.

Adding to 31331 its reverse (13313), we get a palindrome (44644).

It can be divided in two parts, 3 and 1331, that multiplied together give a palindrome (3993).

The spelling of 31331 in words is "thirty-one thousand, three hundred thirty-one".

Divisors: 1 17 19 97 323 1649 1843 31331