31340 has 12 divisors (see below), whose sum is σ = 65856. Its totient is φ = 12528.

The previous prime is 31337. The next prime is 31357. The reversal of 31340 is 4313.

31340 = T₅₇ + T₅₈ + ... + T₇₁.

31340 = 6² + 7² + ... + 45².

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (5488).

2³¹³⁴⁰ is an apocalyptic number.

It is an amenable number.

31340 is an abundant number, since it is smaller than the sum of its proper divisors (34516).

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 (32928).

31340 is a wasteful number, since it uses less digits than its factorization.

31340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 31340 is about 177.0310707192. The cubic root of 31340 is about 31.5282353703.

Subtracting from 31340 its sum of digits (11), we obtain a square (31329 = 177²).

Adding to 31340 its reverse (4313), we get a palindrome (35653).

It can be divided in two parts, 313 and 40, that added together give a palindrome (353).

The spelling of 31340 in words is "thirty-one thousand, three hundred forty".