31293000 has 256 divisors, whose sum is σ = 116064000. Its totient is φ = 7776000.

The previous prime is 31292969. The next prime is 31293007. The reversal of 31293000 is 39213.

31293000 is nontrivially palindromic in base 14.

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

It is not an unprimeable number, because it can be changed into a prime (31293007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512970 + ... + 513030.

It is an arithmetic number, because the mean of its divisors is an integer number (453375).

Almost surely, 2^31293000 is an apocalyptic number.

31293000 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 31293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

31293000 is an abundant number, since it is smaller than the sum of its proper divisors (84771000).

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

31293000 is a wasteful number, since it uses less digits than its factorization.

31293000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 31293000 is about 5594.0146585435. The cubic root of 31293000 is about 315.1246672074.

The spelling of 31293000 in words is "thirty-one million, two hundred ninety-three thousand".