31413144 has 96 divisors (see below), whose sum is σ = 95489280. Its totient is φ = 8434176.

The previous prime is 31413143. The next prime is 31413149. The reversal of 31413144 is 44131413.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31413144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48229 + ... + 48875.

It is an arithmetic number, because the mean of its divisors is an integer number (994680).

Almost surely, 2^31413144 is an apocalyptic number.

31413144 is a gapful number since it is divisible by the number (34) 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 31413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744640).

31413144 is an abundant number, since it is smaller than the sum of its proper divisors (64076136).

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

31413144 is a wasteful number, since it uses less digits than its factorization.

31413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 31413144 is about 5604.7429914315. The cubic root of 31413144 is about 315.5274408669.

Adding to 31413144 its reverse (44131413), we get a palindrome (75544557).

The spelling of 31413144 in words is "thirty-one million, four hundred thirteen thousand, one hundred forty-four".