97538112 has 168 divisors, whose sum is σ = 338547456. Its totient is φ = 26210304.

The previous prime is 97538099. The next prime is 97538123. The reversal of 97538112 is 21183579.

97538112 is a `hidden beast` number, since 9 + 7 + 538 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 67833 + ... + 69255.

Almost surely, 2^97538112 is an apocalyptic number.

97538112 is the 8064-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169273728).

97538112 is an abundant number, since it is smaller than the sum of its proper divisors (241009344).

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

97538112 is a wasteful number, since it uses less digits than its factorization.

97538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1452 counting only the distinct ones).

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

The square root of 97538112 is about 9876.1385166471. The cubic root of 97538112 is about 460.3181667773.

The spelling of 97538112 in words is "ninety-seven million, five hundred thirty-eight thousand, one hundred twelve".