97136424 has 144 divisors (see below), whose sum is σ = 333983520. Its totient is φ = 25220160.

The previous prime is 97136407. The next prime is 97136437. The reversal of 97136424 is 42463179.

97136424 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 642 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37557 + ... + 40059.

It is an arithmetic number, because the mean of its divisors is an integer number (2319330).

Almost surely, 2^97136424 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 97136424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166991760).

97136424 is an abundant number, since it is smaller than the sum of its proper divisors (236847096).

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

97136424 is a wasteful number, since it uses less digits than its factorization.

97136424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2526 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 97136424 is about 9855.7812475724. The cubic root of 97136424 is about 459.6853929459.

The spelling of 97136424 in words is "ninety-seven million, one hundred thirty-six thousand, four hundred twenty-four".