97985052 has 120 divisors (see below), whose sum is σ = 294349440. Its totient is φ = 28110240.

The previous prime is 97985051. The next prime is 97985077. The reversal of 97985052 is 25058979.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97984989 and 97985007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97985051) 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 39 ways as a sum of consecutive naturals, for example, 66993 + ... + 68439.

It is an arithmetic number, because the mean of its divisors is an integer number (2452912).

Almost surely, 2^97985052 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 97985052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147174720).

97985052 is an abundant number, since it is smaller than the sum of its proper divisors (196364388).

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

97985052 is a wasteful number, since it uses less digits than its factorization.

97985052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 97985052 is about 9898.7399198080. The cubic root of 97985052 is about 461.0201869249.

The spelling of 97985052 in words is "ninety-seven million, nine hundred eighty-five thousand, fifty-two".