31200 has 72 divisors (see below), whose sum is σ = 109368. Its totient is φ = 7680.

The previous prime is 31193. The next prime is 31219. The reversal of 31200 is 213.

31200 is nontrivially palindromic in base 7.

31200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

31200 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 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (1519).

2³¹²⁰⁰ is an apocalyptic number.

31200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

31200 is an abundant number, since it is smaller than the sum of its proper divisors (78168).

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

31200 is a wasteful number, since it uses less digits than its factorization.

31200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 31200 is about 176.6352173266. The cubic root of 31200 is about 31.4812183326.

Adding to 31200 its reverse (213), we get a palindrome (31413).

It can be divided in two parts, 31 and 200, that added together give a triangular number (231 = T₂₁).

The spelling of 31200 in words is "thirty-one thousand, two hundred".