971417552 has 60 divisors (see below), whose sum is σ = 2193956676. Its totient is φ = 415457280.

The previous prime is 971417507. The next prime is 971417563. The reversal of 971417552 is 255714179.

It can be written as a sum of positive squares in 2 ways, for example, as 780867136 + 190550416 = 27944^2 + 13804^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501578 + ... + 503510.

Almost surely, 2^971417552 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 971417552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096978338).

971417552 is an abundant number, since it is smaller than the sum of its proper divisors (1222539124).

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

971417552 is a wasteful number, since it uses less digits than its factorization.

971417552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2583 counting only the distinct ones).

The product of its digits is 88200, while the sum is 41.

The square root of 971417552 is about 31167.5721223197. The cubic root of 971417552 is about 990.3802749570.

The spelling of 971417552 in words is "nine hundred seventy-one million, four hundred seventeen thousand, five hundred fifty-two".