97130016 has 72 divisors (see below), whose sum is σ = 286466544. Its totient is φ = 32374080.

The previous prime is 97129997. The next prime is 97130023. The reversal of 97130016 is 61003179.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1531 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (3978702).

Almost surely, 2^97130016 is an apocalyptic number.

97130016 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 97130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143233272).

97130016 is an abundant number, since it is smaller than the sum of its proper divisors (189336528).

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

97130016 is a wasteful number, since it uses less digits than its factorization.

97130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97130016 is about 9855.4561538267. The cubic root of 97130016 is about 459.6752843836.

The spelling of 97130016 in words is "ninety-seven million, one hundred thirty thousand, sixteen".