971321940 has 144 divisors (see below), whose sum is σ = 3090906000. Its totient is φ = 246564864.

The previous prime is 971321927. The next prime is 971321951. The reversal of 971321940 is 49123179.

971321940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49956624 + 921365316 = 7068^2 + 30354^2 .

It is a super-2 number, since 2×971321940² = 1886932622250727200, which contains 22 as substring.

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 = 971321895 and 971321904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379786 + ... + 382334.

It is an arithmetic number, because the mean of its divisors is an integer number (21464625).

Almost surely, 2^971321940 is an apocalyptic number.

971321940 is a gapful number since it is divisible by the number (90) 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 971321940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545453000).

971321940 is an abundant number, since it is smaller than the sum of its proper divisors (2119584060).

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

971321940 is a wasteful number, since it uses less digits than its factorization.

971321940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 971321940 is about 31166.0382467840. The cubic root of 971321940 is about 990.3477810875.

The spelling of 971321940 in words is "nine hundred seventy-one million, three hundred twenty-one thousand, nine hundred forty".