897292000 has 96 divisors (see below), whose sum is σ = 2405186784. Its totient is φ = 326272000.

The previous prime is 897291991. The next prime is 897292009. The reversal of 897292000 is 292798.

It is an interprime number because it is at equal distance from previous prime (897291991) and next prime (897292009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897292009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33804 + ... + 54196.

It is an arithmetic number, because the mean of its divisors is an integer number (25054029).

Almost surely, 2^897292000 is an apocalyptic number.

897292000 is a gapful number since it is divisible by the number (80) 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 897292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202593392).

897292000 is an abundant number, since it is smaller than the sum of its proper divisors (1507894784).

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

897292000 is a wasteful number, since it uses less digits than its factorization.

897292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20429 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 897292000 is about 29954.8326651978. The cubic root of 897292000 is about 964.5200616657.

The spelling of 897292000 in words is "eight hundred ninety-seven million, two hundred ninety-two thousand".