97495200 has 216 divisors, whose sum is σ = 375350976. Its totient is φ = 23616000.

The previous prime is 97495193. The next prime is 97495201. The reversal of 97495200 is 259479.

97495200 is a `hidden beast` number, since 97 + 49 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97495201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78585 + ... + 79815.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^97495200 is an apocalyptic number.

97495200 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 97495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

97495200 is an abundant number, since it is smaller than the sum of its proper divisors (277855776).

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

97495200 is a wasteful number, since it uses less digits than its factorization.

97495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97495200 is about 9873.9657686261. The cubic root of 97495200 is about 460.2506510467.

The spelling of 97495200 in words is "ninety-seven million, four hundred ninety-five thousand, two hundred".