98172000 has 288 divisors, whose sum is σ = 364893984. Its totient is φ = 25920000.

The previous prime is 98171977. The next prime is 98172001. The reversal of 98172000 is 27189.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98172001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971950 + ... + 972050.

It is an arithmetic number, because the mean of its divisors is an integer number (1266993).

Almost surely, 2^98172000 is an apocalyptic number.

98172000 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 98172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182446992).

98172000 is an abundant number, since it is smaller than the sum of its proper divisors (266721984).

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

98172000 is a wasteful number, since it uses less digits than its factorization.

98172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 98172000 is about 9908.1784400565. The cubic root of 98172000 is about 461.3131977654.

Adding to 98172000 its reverse (27189), we get a palindrome (98199189).

The spelling of 98172000 in words is "ninety-eight million, one hundred seventy-two thousand".