971358048 has 96 divisors (see below), whose sum is σ = 2838971520. Its totient is φ = 323118720.

The previous prime is 971358041. The next prime is 971358067. The reversal of 971358048 is 840853179.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 971357994 and 971358012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971358041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596211 + ... + 597837.

It is an arithmetic number, because the mean of its divisors is an integer number (29572620).

Almost surely, 2^971358048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419485760).

971358048 is an abundant number, since it is smaller than the sum of its proper divisors (1867613472).

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

971358048 is a wasteful number, since it uses less digits than its factorization.

971358048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 971358048 is about 31166.6175258080. The cubic root of 971358048 is about 990.3600526914.

The spelling of 971358048 in words is "nine hundred seventy-one million, three hundred fifty-eight thousand, forty-eight".