31142124 has 96 divisors (see below), whose sum is σ = 89234880. Its totient is φ = 9331200.

The previous prime is 31142119. The next prime is 31142129. The reversal of 31142124 is 42124113.

It is an interprime number because it is at equal distance from previous prime (31142119) and next prime (31142129).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 31142097 and 31142106.

It is not an unprimeable number, because it can be changed into a prime (31142129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57294 + ... + 57834.

It is an arithmetic number, because the mean of its divisors is an integer number (929530).

Almost surely, 2^31142124 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 31142124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44617440).

31142124 is an abundant number, since it is smaller than the sum of its proper divisors (58092756).

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

31142124 is a wasteful number, since it uses less digits than its factorization.

31142124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31142124 is about 5580.5128796554. The cubic root of 31142124 is about 314.6174039713.

Adding to 31142124 its reverse (42124113), we get a palindrome (73266237).

The spelling of 31142124 in words is "thirty-one million, one hundred forty-two thousand, one hundred twenty-four".