31376 has 20 divisors (see below), whose sum is σ = 63612. Its totient is φ = 14976.

The previous prime is 31357. The next prime is 31379. The reversal of 31376 is 67313.

Adding to 31376 its reverse (67313), we get a palindrome (98689).

Subtracting 31376 from its reverse (67313), we obtain a cube (35937 = 33^{3}).

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 5776 = 160^2 + 76^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a pancake number, because a pancake can be divided into 31376 parts by 250 straight cuts.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (31379) by changing a digit.

31376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 566 + ... + 618.

2^{31376} is an apocalyptic number.

It is an amenable number.

31376 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806).

31376 is a wasteful number, since it uses less digits than its factorization.

31376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 31376 is about 177.1327186039. The cubic root of 31376 is about 31.5403028257.

The spelling of 31376 in words is "thirty-one thousand, three hundred seventy-six".

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