31133970 has 240 divisors, whose sum is σ = 106983360. Its totient is φ = 6345216.

The previous prime is 31133959. The next prime is 31133981. The reversal of 31133970 is 7933113.

It is an interprime number because it is at equal distance from previous prime (31133959) and next prime (31133981).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1638621 + ... + 1638639.

It is an arithmetic number, because the mean of its divisors is an integer number (445764).

Almost surely, 2^31133970 is an apocalyptic number.

31133970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491680).

31133970 is an abundant number, since it is smaller than the sum of its proper divisors (75849390).

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

31133970 is a wasteful number, since it uses less digits than its factorization.

31133970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 31133970 is about 5579.7822538160. The cubic root of 31133970 is about 314.5899426219.

The spelling of 31133970 in words is "thirty-one million, one hundred thirty-three thousand, nine hundred seventy".