31242000 has 160 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 8064000.

The previous prime is 31241993. The next prime is 31242007. The reversal of 31242000 is 24213.

It is an interprime number because it is at equal distance from previous prime (31241993) and next prime (31242007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31242007) 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 31 ways as a sum of consecutive naturals, for example, 245937 + ... + 246063.

Almost surely, 2^31242000 is an apocalyptic number.

31242000 is a gapful number since it is divisible by the number (30) 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 31242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

31242000 is an abundant number, since it is smaller than the sum of its proper divisors (72751344).

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

31242000 is a wasteful number, since it uses less digits than its factorization.

31242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31242000 is about 5589.4543561961. The cubic root of 31242000 is about 314.9533818640.

Adding to 31242000 its reverse (24213), we get a palindrome (31266213).

The spelling of 31242000 in words is "thirty-one million, two hundred forty-two thousand".