98181000 has 96 divisors (see below), whose sum is σ = 331882200. Its totient is φ = 26179200.

The previous prime is 98180993. The next prime is 98181011. The reversal of 98181000 is 18189.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 80892036 = 4158^2 + 8994^2 .

It is a super-2 number, since 2×98181000² = 19279017522000000, which contains 22 as substring.

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, 3546 + ... + 14454.

Almost surely, 2^98181000 is an apocalyptic number.

98181000 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 98181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165941100).

98181000 is an abundant number, since it is smaller than the sum of its proper divisors (233701200).

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

98181000 is a wasteful number, since it uses less digits than its factorization.

98181000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10936 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 98181000 is about 9908.6325999100. The cubic root of 98181000 is about 461.3272944254.

Adding to 98181000 its reverse (18189), we get a palindrome (98199189).

The spelling of 98181000 in words is "ninety-eight million, one hundred eighty-one thousand".