31114216 has 128 divisors (see below), whose sum is σ = 77760000. Its totient is φ = 11590656.

The previous prime is 31114189. The next prime is 31114249. The reversal of 31114216 is 61241113.

31114216 is a nontrivial binomial coefficient, being equal to C(7889, 2).

It is a junction number, because it is equal to n+sod(n) for n = 31114193 and 31114202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072890 + ... + 1072918.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 2^31114216 is an apocalyptic number.

31114216 is the 7888-th triangular number.

31114216 is the 2630-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31114216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880000).

31114216 is an abundant number, since it is smaller than the sum of its proper divisors (46645784).

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

31114216 is a wasteful number, since it uses less digits than its factorization.

31114216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 31114216 is about 5578.0118321854. The cubic root of 31114216 is about 314.5233944699.

Adding to 31114216 its reverse (61241113), we get a palindrome (92355329).

The spelling of 31114216 in words is "thirty-one million, one hundred fourteen thousand, two hundred sixteen".