98153172 has 144 divisors (see below), whose sum is σ = 288484560. Its totient is φ = 28035072.

The previous prime is 98153149. The next prime is 98153177. The reversal of 98153172 is 27135189.

It can be written as a sum of positive squares in 8 ways, for example, as 50211396 + 47941776 = 7086^2 + 6924^2 .

It is a super-3 number, since 3×98153172³ (a number of 25 digits) contains 333 as substring.

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

Its product of digits (15120) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98153177) 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, 1344528 + ... + 1344600.

It is an arithmetic number, because the mean of its divisors is an integer number (2003365).

Almost surely, 2^98153172 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 98153172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144242280).

98153172 is an abundant number, since it is smaller than the sum of its proper divisors (190331388).

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

98153172 is a wasteful number, since it uses less digits than its factorization.

98153172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 98153172 is about 9907.2282703085. The cubic root of 98153172 is about 461.2837047660.

The spelling of 98153172 in words is "ninety-eight million, one hundred fifty-three thousand, one hundred seventy-two".