97002800 has 60 divisors (see below), whose sum is σ = 234422496. Its totient is φ = 38572800.

The previous prime is 97002781. The next prime is 97002803. The reversal of 97002800 is 820079.

It is a Cunningham number, because it is equal to 9849²-1.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 97002800.

It is not an unprimeable number, because it can be changed into a prime (97002803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78185 + ... + 79415.

Almost surely, 2^97002800 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 97002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117211248).

97002800 is an abundant number, since it is smaller than the sum of its proper divisors (137419696).

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

97002800 is a wasteful number, since it uses less digits than its factorization.

97002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 97002800 is about 9848.9999492334. Note that the first 4 decimals coincide. The cubic root of 97002800 is about 459.4745101962.

Adding to 97002800 its reverse (820079), we get a palindrome (97822879).

The spelling of 97002800 in words is "ninety-seven million, two thousand, eight hundred".