97087816 has 72 divisors (see below), whose sum is σ = 225212130. Its totient is φ = 39115776.

The previous prime is 97087813. The next prime is 97087847. The reversal of 97087816 is 61878079.

It can be written as a sum of positive squares in 3 ways, for example, as 94672900 + 2414916 = 9730^2 + 1554^2 .

It is not an unprimeable number, because it can be changed into a prime (97087811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112860 + ... + 113716.

Almost surely, 2^97087816 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 97087816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112606065).

97087816 is an abundant number, since it is smaller than the sum of its proper divisors (128124314).

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

97087816 is a wasteful number, since it uses less digits than its factorization.

97087816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The square root of 97087816 is about 9853.3149751746. The cubic root of 97087816 is about 459.6087031564.

It can be divided in two parts, 97087 and 816, that added together give a triangular number (97903 = T₄₄₂).

The spelling of 97087816 in words is "ninety-seven million, eighty-seven thousand, eight hundred sixteen".