31142000 has 80 divisors (see below), whose sum is σ = 78691392. Its totient is φ = 11897600.

The previous prime is 31141997. The next prime is 31142003. The reversal of 31142000 is 24113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31141997) and next prime (31142003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45662 + ... + 46338.

Almost surely, 2^31142000 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 31142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39345696).

31142000 is an abundant number, since it is smaller than the sum of its proper divisors (47549392).

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

31142000 is a wasteful number, since it uses less digits than its factorization.

31142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 31142000 is about 5580.5017695544. The cubic root of 31142000 is about 314.6169863953.

Adding to 31142000 its reverse (24113), we get a palindrome (31166113).

The spelling of 31142000 in words is "thirty-one million, one hundred forty-two thousand".