97112610 has 216 divisors, whose sum is σ = 315070236. Its totient is φ = 20684160.

The previous prime is 97112537. The next prime is 97112621. The reversal of 97112610 is 1621179.

It can be written as a sum of positive squares in 2 ways, for example, as 84217329 + 12895281 = 9177^2 + 3591^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1591980 + ... + 1592040.

Almost surely, 2^97112610 is an apocalyptic number.

97112610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97112610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157535118).

97112610 is an abundant number, since it is smaller than the sum of its proper divisors (217957626).

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

97112610 is a wasteful number, since it uses less digits than its factorization.

97112610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 97112610 is about 9854.5730501123. The cubic root of 97112610 is about 459.6478243312.

Adding to 97112610 its reverse (1621179), we get a palindrome (98733789).

It can be divided in two parts, 9711 and 2610, that added together give a palindrome (12321).

The spelling of 97112610 in words is "ninety-seven million, one hundred twelve thousand, six hundred ten".