31350 has 48 divisors (see below), whose sum is σ = 89280. Its totient is φ = 7200.

The previous prime is 31337. The next prime is 31357. The reversal of 31350 is 5313.

It is a happy number.

It is a Curzon number.

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 (31357) by changing a digit.

31350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2³¹³⁵⁰ is an apocalyptic number.

31350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31350 is the 95-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

31350 is an abundant number, since it is smaller than the sum of its proper divisors (57930).

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

31350 is a wasteful number, since it uses less digits than its factorization.

31350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 31350 is about 177.0593120963. The cubic root of 31350 is about 31.5315883679.

Adding to 31350 its reverse (5313), we get a palindrome (36663).

It can be divided in two parts, 313 and 50, that added together give a palindrome (363).

The spelling of 31350 in words is "thirty-one thousand, three hundred fifty".