31771980 has 96 divisors (see below), whose sum is σ = 104690880. Its totient is φ = 7971840.

The previous prime is 31771973. The next prime is 31772017. The reversal of 31771980 is 8917713.

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

It is an unprimeable number.

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, 7450 + ... + 10910.

It is an arithmetic number, because the mean of its divisors is an integer number (1090530).

Almost surely, 2^31771980 is an apocalyptic number.

31771980 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 31771980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52345440).

31771980 is an abundant number, since it is smaller than the sum of its proper divisors (72918900).

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

31771980 is a wasteful number, since it uses less digits than its factorization.

31771980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 31771980 is about 5636.6639069577. The cubic root of 31771980 is about 316.7243305270.

The spelling of 31771980 in words is "thirty-one million, seven hundred seventy-one thousand, nine hundred eighty".