97830000 has 150 divisors (see below), whose sum is σ = 342440384. Its totient is φ = 26064000.

The previous prime is 97829989. The next prime is 97830037. The reversal of 97830000 is 3879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89457 + ... + 90543.

Almost surely, 2^97830000 is an apocalyptic number.

97830000 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 97830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171220192).

97830000 is an abundant number, since it is smaller than the sum of its proper divisors (244610384).

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

97830000 is a wasteful number, since it uses less digits than its factorization.

97830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97830000 is about 9890.9049131007. The cubic root of 97830000 is about 460.7768850529.

Adding to 97830000 its reverse (3879), we get a palindrome (97833879).

The spelling of 97830000 in words is "ninety-seven million, eight hundred thirty thousand".