31482 has 32 divisors (see below), whose sum is σ = 77760. Its totient is φ = 9360.

The previous prime is 31481. The next prime is 31489. The reversal of 31482 is 28413.

It is a happy number.

It is a super-2 number, since 2×31482² = 1982232648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31482.

It is not an unprimeable number, because it can be changed into a prime (31481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (2430).

2³¹⁴⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880).

31482 is an abundant number, since it is smaller than the sum of its proper divisors (46278).

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

31482 is a wasteful number, since it uses less digits than its factorization.

31482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31482 is about 177.4316769915. The cubic root of 31482 is about 31.5757812615.

Adding to 31482 its reverse (28413), we get a palindrome (59895).

It can be divided in two parts, 3 and 1482, that added together give a triangular number (1485 = T₅₄).

The spelling of 31482 in words is "thirty-one thousand, four hundred eighty-two".