31416 has 64 divisors (see below), whose sum is σ = 103680. Its totient is φ = 7680.

The previous prime is 31397. The next prime is 31469. The reversal of 31416 is 61413.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31395 and 31404.

It is a congruent number.

It is an unprimeable number.

31416 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 15 ways as a sum of consecutive naturals, for example, 1840 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2³¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

31416 is an abundant number, since it is smaller than the sum of its proper divisors (72264).

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

31416 is a wasteful number, since it uses less digits than its factorization.

31416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 40 counting only the distinct ones).

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

The square root of 31416 is about 177.2455923288. The cubic root of 31416 is about 31.5537002884.

Adding to 31416 its reverse (61413), we get a palindrome (92829).

The spelling of 31416 in words is "thirty-one thousand, four hundred sixteen".