997947000 has 256 divisors, whose sum is σ = 3612211200. Its totient is φ = 254390400.

The previous prime is 997946987. The next prime is 997947031. The reversal of 997947000 is 749799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620197 + ... + 621803.

It is an arithmetic number, because the mean of its divisors is an integer number (14110200).

Almost surely, 2^997947000 is an apocalyptic number.

997947000 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 997947000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806105600).

997947000 is an abundant number, since it is smaller than the sum of its proper divisors (2614264200).

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

997947000 is a wasteful number, since it uses less digits than its factorization.

997947000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 997947000 is about 31590.2991438828. The cubic root of 997947000 is about 999.3151978197.

The spelling of 997947000 in words is "nine hundred ninety-seven million, nine hundred forty-seven thousand".