97582016 has 56 divisors (see below), whose sum is σ = 224674176. Its totient is φ = 41184000.

The previous prime is 97581983. The next prime is 97582033. The reversal of 97582016 is 61028579.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28391 + ... + 31641.

Almost surely, 2^97582016 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 97582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112337088).

97582016 is an abundant number, since it is smaller than the sum of its proper divisors (127092160).

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

97582016 is a wasteful number, since it uses less digits than its factorization.

97582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 97582016 is about 9878.3609976554. The cubic root of 97582016 is about 460.3872227831.

It can be divided in two parts, 9758 and 2016, that multiplied together give a triangular number (19672128 = T₆₂₇₂).

The spelling of 97582016 in words is "ninety-seven million, five hundred eighty-two thousand, sixteen".