971400032 has 48 divisors (see below), whose sum is σ = 2000285280. Its totient is φ = 463491072.

The previous prime is 971400011. The next prime is 971400041. The reversal of 971400032 is 230004179.

971400032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 971399974 and 971400010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373328 + ... + 375920.

It is an arithmetic number, because the mean of its divisors is an integer number (41672610).

Almost surely, 2^971400032 is an apocalyptic number.

971400032 is a gapful number since it is divisible by the number (92) 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 971400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000142640).

971400032 is an abundant number, since it is smaller than the sum of its proper divisors (1028885248).

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

971400032 is a wasteful number, since it uses less digits than its factorization.

971400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 971400032 is about 31167.2910596991. The cubic root of 971400032 is about 990.3743209205.

The spelling of 971400032 in words is "nine hundred seventy-one million, four hundred thousand, thirty-two".