31793940 has 72 divisors (see below), whose sum is σ = 97094088. Its totient is φ = 8421120.

The previous prime is 31793939. The next prime is 31793953. The reversal of 31793940 is 4939713.

It can be written as a sum of positive squares in 4 ways, for example, as 10227204 + 21566736 = 3198^2 + 4644^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31793895 and 31793904.

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 23 ways as a sum of consecutive naturals, for example, 30630 + ... + 31650.

It is an arithmetic number, because the mean of its divisors is an integer number (1348529).

Almost surely, 2^31793940 is an apocalyptic number.

31793940 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 31793940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547044).

31793940 is an abundant number, since it is smaller than the sum of its proper divisors (65300148).

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

31793940 is a wasteful number, since it uses less digits than its factorization.

31793940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 31793940 is about 5638.6115312194. The cubic root of 31793940 is about 316.7972843737.

The spelling of 31793940 in words is "thirty-one million, seven hundred ninety-three thousand, nine hundred forty".