97852500 has 90 divisors (see below), whose sum is σ = 309158850. Its totient is φ = 26088000.

The previous prime is 97852471. The next prime is 97852501. The reversal of 97852500 is 525879.

It can be written as a sum of positive squares in 5 ways, for example, as 68757264 + 29095236 = 8292^2 + 5394^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×97852500² = 19150223512500000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97852501) 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 29 ways as a sum of consecutive naturals, for example, 20326 + ... + 24674.

Almost surely, 2^97852500 is an apocalyptic number.

97852500 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 97852500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154579425).

97852500 is an abundant number, since it is smaller than the sum of its proper divisors (211306350).

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

97852500 is a wasteful number, since it uses less digits than its factorization.

97852500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 97852500 is about 9892.0422562785. The cubic root of 97852500 is about 460.8122071600.

The spelling of 97852500 in words is "ninety-seven million, eight hundred fifty-two thousand, five hundred".