97134336 has 288 divisors, whose sum is σ = 329656320. Its totient is φ = 27979776.

The previous prime is 97134307. The next prime is 97134337. The reversal of 97134336 is 63343179.

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 (36).

Its product of digits (40824) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 97134336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97134337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066665 + ... + 2066711.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^97134336 is an apocalyptic number.

97134336 is a gapful number since it is divisible by the number (96) 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 97134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

97134336 is an abundant number, since it is smaller than the sum of its proper divisors (232521984).

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

97134336 is a wasteful number, since it uses less digits than its factorization.

97134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 97134336 is about 9855.6753193274. The cubic root of 97134336 is about 459.6820991935.

The spelling of 97134336 in words is "ninety-seven million, one hundred thirty-four thousand, three hundred thirty-six".