98157312 has 144 divisors (see below), whose sum is σ = 316901760. Its totient is φ = 29721600.

The previous prime is 98157289. The next prime is 98157313. The reversal of 98157312 is 21375189.

98157312 is a `hidden beast` number, since 9 + 81 + 573 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (98157313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75387 + ... + 76677.

Almost surely, 2^98157312 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 98157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158450880).

98157312 is an abundant number, since it is smaller than the sum of its proper divisors (218744448).

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

98157312 is a wasteful number, since it uses less digits than its factorization.

98157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

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

The square root of 98157312 is about 9907.4372064626. The cubic root of 98157312 is about 461.2901901658.

The spelling of 98157312 in words is "ninety-eight million, one hundred fifty-seven thousand, three hundred twelve".