31380 has 24 divisors (see below), whose sum is σ = 88032. Its totient is φ = 8352.

The previous prime is 31379. The next prime is 31387. The reversal of 31380 is 8313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31387) 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, 202 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (3668).

2³¹³⁸⁰ is an apocalyptic number.

31380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31380 is an abundant number, since it is smaller than the sum of its proper divisors (56652).

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 (44016).

31380 is a wasteful number, since it uses less digits than its factorization.

31380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31380 is about 177.1440092128. The cubic root of 31380 is about 31.5416430842.

Adding to 31380 its reverse (8313), we get a palindrome (39693).

It can be divided in two parts, 313 and 80, that added together give a palindrome (393).

The spelling of 31380 in words is "thirty-one thousand, three hundred eighty".