971235000 has 240 divisors, whose sum is σ = 3333432960. Its totient is φ = 255360000.

The previous prime is 971234993. The next prime is 971235037. The reversal of 971235000 is 532179.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5084905 + ... + 5085095.

It is an arithmetic number, because the mean of its divisors is an integer number (13889304).

Almost surely, 2^971235000 is an apocalyptic number.

971235000 is a gapful number since it is divisible by the number (90) 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 971235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666716480).

971235000 is an abundant number, since it is smaller than the sum of its proper divisors (2362197960).

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

971235000 is a wasteful number, since it uses less digits than its factorization.

971235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 971235000 is about 31164.6434280901. The cubic root of 971235000 is about 990.3182325579.

Adding to 971235000 its reverse (532179), we get a palindrome (971767179).

The spelling of 971235000 in words is "nine hundred seventy-one million, two hundred thirty-five thousand".