31141416 has 64 divisors (see below), whose sum is σ = 83220480. Its totient is φ = 9676800.

The previous prime is 31141403. The next prime is 31141441. The reversal of 31141416 is 61414113.

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

It is a junction number, because it is equal to n+sod(n) for n = 31141392 and 31141401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51516 + ... + 52116.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 2^31141416 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 31141416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41610240).

31141416 is an abundant number, since it is smaller than the sum of its proper divisors (52079064).

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

31141416 is a wasteful number, since it uses less digits than its factorization.

31141416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 31141416 is about 5580.4494442652. The cubic root of 31141416 is about 314.6150197322.

Adding to 31141416 its reverse (61414113), we get a palindrome (92555529).

The spelling of 31141416 in words is "thirty-one million, one hundred forty-one thousand, four hundred sixteen".