31914 has 20 divisors (see below), whose sum is σ = 71874. Its totient is φ = 10584.

The previous prime is 31907. The next prime is 31957. The reversal of 31914 is 41913.

It can be written as a sum of positive squares in only one way, i.e., 18225 + 13689 = 135^2 + 117^2 .

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

31914 is an undulating number in base 14.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31914.

It is an unprimeable number.

31914 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 9 ways as a sum of consecutive naturals, for example, 64 + ... + 260.

2³¹⁹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35937).

31914 is an abundant number, since it is smaller than the sum of its proper divisors (39960).

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

31914 is a wasteful number, since it uses less digits than its factorization.

31914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 31914 is about 178.6448991715. The cubic root of 31914 is about 31.7195545874.

Subtracting 31914 from its reverse (41913), we obtain a palindrome (9999).

It can be divided in two parts, 319 and 14, that added together give a palindrome (333).

The spelling of 31914 in words is "thirty-one thousand, nine hundred fourteen".