971545248 has 72 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 323293824.

The previous prime is 971545243. The next prime is 971545273. The reversal of 971545248 is 842545179.

971545248 is a `hidden beast` number, since 9 + 71 + 54 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×971545248² = 1887800337822763008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (971545243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187233 + ... + 192351.

It is an arithmetic number, because the mean of its divisors is an integer number (38438400).

Almost surely, 2^971545248 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 971545248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

971545248 is an abundant number, since it is smaller than the sum of its proper divisors (1796019552).

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

971545248 is a wasteful number, since it uses less digits than its factorization.

971545248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5783 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 971545248 is about 31169.6205944185. The cubic root of 971545248 is about 990.4236692929.

The spelling of 971545248 in words is "nine hundred seventy-one million, five hundred forty-five thousand, two hundred forty-eight".