99855252 has 72 divisors (see below), whose sum is σ = 292586112. Its totient is φ = 28123200.

The previous prime is 99855251. The next prime is 99855253. The reversal of 99855252 is 25255899.

99855252 is a `hidden beast` number, since 9 + 98 + 552 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (99855251) and next prime (99855253).

It is a junction number, because it is equal to n+sod(n) for n = 99855198 and 99855207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99855251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15102 + ... + 20682.

It is an arithmetic number, because the mean of its divisors is an integer number (4063696).

Almost surely, 2^99855252 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 99855252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146293056).

99855252 is an abundant number, since it is smaller than the sum of its proper divisors (192730860).

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

99855252 is a wasteful number, since it uses less digits than its factorization.

99855252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5664 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 99855252 is about 9992.7599791049. The cubic root of 99855252 is about 463.9348216514.

The spelling of 99855252 in words is "ninety-nine million, eight hundred fifty-five thousand, two hundred fifty-two".