97633300 has 36 divisors (see below), whose sum is σ = 217040796. Its totient is φ = 38099200.

The previous prime is 97633247. The next prime is 97633303. The reversal of 97633300 is 333679.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15984004 + 81649296 = 3998^2 + 9036^2 .

It is a super-2 number, since 2×97633300² = 19064522537780000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97633303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7807 + ... + 16006.

It is an arithmetic number, because the mean of its divisors is an integer number (6028911).

Almost surely, 2^97633300 is an apocalyptic number.

It is an amenable number.

97633300 is an abundant number, since it is smaller than the sum of its proper divisors (119407496).

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

97633300 is a wasteful number, since it uses less digits than its factorization.

97633300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23868 (or 23861 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 97633300 is about 9880.9564314392. The cubic root of 97633300 is about 460.4678604673.

Adding to 97633300 its reverse (333679), we get a palindrome (97966979).

The spelling of 97633300 in words is "ninety-seven million, six hundred thirty-three thousand, three hundred".