98053116 has 72 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 27726048.

The previous prime is 98053079. The next prime is 98053133. The reversal of 98053116 is 61135089.

It is a super-2 number, since 2×98053116² = 19228827114618912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

98053116 is a modest number, since divided by 53116 gives 980 as remainder.

It is a congruent number.

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, 59755 + ... + 61373.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^98053116 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 98053116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

98053116 is an abundant number, since it is smaller than the sum of its proper divisors (170840964).

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

98053116 is a wasteful number, since it uses less digits than its factorization.

98053116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 98053116 is about 9902.1773363236. The cubic root of 98053116 is about 461.1269093774.

It can be divided in two parts, 9805 and 3116, that added together give a palindrome (12921).

The spelling of 98053116 in words is "ninety-eight million, fifty-three thousand, one hundred sixteen".