971145504 has 384 divisors, whose sum is σ = 3447360000. Its totient is φ = 265531392.

The previous prime is 971145493. The next prime is 971145517. The reversal of 971145504 is 405541179.

971145504 is a `hidden beast` number, since 9 + 7 + 1 + 145 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8594152 + ... + 8594264.

It is an arithmetic number, because the mean of its divisors is an integer number (8977500).

Almost surely, 2^971145504 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 971145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680000).

971145504 is an abundant number, since it is smaller than the sum of its proper divisors (2476214496).

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

971145504 is a wasteful number, since it uses less digits than its factorization.

971145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 971145504 is about 31163.2075370941. The cubic root of 971145504 is about 990.2878134719.

The spelling of 971145504 in words is "nine hundred seventy-one million, one hundred forty-five thousand, five hundred four".