97284000 has 288 divisors, whose sum is σ = 355537728. Its totient is φ = 23232000.

The previous prime is 97283999. The next prime is 97284007. The reversal of 97284000 is 48279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (97284007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451967 + ... + 1452033.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 2^97284000 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 97284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

97284000 is an abundant number, since it is smaller than the sum of its proper divisors (258253728).

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

97284000 is a wasteful number, since it uses less digits than its factorization.

97284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 97284000 is about 9863.2651794424. The cubic root of 97284000 is about 459.9180698444.

The spelling of 97284000 in words is "ninety-seven million, two hundred eighty-four thousand".