31145224 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 13132800.

The previous prime is 31145221. The next prime is 31145227. The reversal of 31145224 is 42254113.

It is an interprime number because it is at equal distance from previous prime (31145221) and next prime (31145227).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31145195 and 31145204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145221) by changing a digit.

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, 162969 + ... + 163159.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 2^31145224 is an apocalyptic number.

31145224 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 31145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

31145224 is an abundant number, since it is smaller than the sum of its proper divisors (37283576).

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

31145224 is a wasteful number, since it uses less digits than its factorization.

31145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 31145224 is about 5580.7906249921. The cubic root of 31145224 is about 314.6278430109.

Adding to 31145224 its reverse (42254113), we get a palindrome (73399337).

Subtracting 31145224 from its reverse (42254113), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 3114 and 5224, that added together give a palindrome (8338).

The spelling of 31145224 in words is "thirty-one million, one hundred forty-five thousand, two hundred twenty-four".