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31369 = 1319127
BaseRepresentation
bin111101010001001
31121000211
413222021
52000434
6401121
7160312
oct75211
947024
1031369
1121628
12161a1
1311380
14b609
159464
hex7a89

31369 has 8 divisors (see below), whose sum is σ = 35840. Its totient is φ = 27216.

The previous prime is 31357. The next prime is 31379. The reversal of 31369 is 96313.

31369 = T19 + T20 + ... + T57.

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 31369 - 25 = 31337 is a prime.

It is a super-2 number, since 2×313692 = 1968028322, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31369.

It is not an unprimeable number, because it can be changed into a prime (31319) 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, 184 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

231369 is an apocalyptic number.

It is an amenable number.

31369 is a deficient number, since it is larger than the sum of its proper divisors (4471).

31369 is a wasteful number, since it uses less digits than its factorization.

31369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 486, while the sum is 22.

The square root of 31369 is about 177.1129583063. The cubic root of 31369 is about 31.5379570993.

It can be divided in two parts, 3136 and 9, that multiplied together give a square (28224 = 1682).

The spelling of 31369 in words is "thirty-one thousand, three hundred sixty-nine".

Divisors: 1 13 19 127 247 1651 2413 31369