997101000 has 768 divisors, whose sum is σ = 4380480000. Its totient is φ = 203212800.

The previous prime is 997100963. The next prime is 997101013. The reversal of 997101000 is 101799.

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 191 ways as a sum of consecutive naturals, for example, 52478991 + ... + 52479009.

It is an arithmetic number, because the mean of its divisors is an integer number (5703750).

Almost surely, 2^997101000 is an apocalyptic number.

997101000 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 997101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190240000).

997101000 is an abundant number, since it is smaller than the sum of its proper divisors (3383379000).

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

997101000 is a wasteful number, since it uses less digits than its factorization.

997101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 997101000 is about 31576.9061182377. The cubic root of 997101000 is about 999.0327313597.

Adding to 997101000 its reverse (101799), we get a palindrome (997202799).

The spelling of 997101000 in words is "nine hundred ninety-seven million, one hundred one thousand".