84098052 has 72 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 27120000.

The previous prime is 84098023. The next prime is 84098089. The reversal of 84098052 is 25089048.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 84097998 and 84098016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334927 + ... + 335177.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^84098052 is an apocalyptic number.

84098052 is a gapful number since it is divisible by the number (82) 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 84098052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

84098052 is an abundant number, since it is smaller than the sum of its proper divisors (135498780).

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

84098052 is a wasteful number, since it uses less digits than its factorization.

84098052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 84098052 is about 9170.4990049615. The cubic root of 84098052 is about 438.1222527322.

It can be divided in two parts, 8409 and 8052, that added together give a palindrome (16461).

The spelling of 84098052 in words is "eighty-four million, ninety-eight thousand, fifty-two".