97835264 has 36 divisors (see below), whose sum is σ = 195948060. Its totient is φ = 48752640.

The previous prime is 97835263. The next prime is 97835281. The reversal of 97835264 is 46253879.

It can be written as a sum of positive squares in 2 ways, for example, as 43665664 + 54169600 = 6608^2 + 7360^2 .

It is not an unprimeable number, because it can be changed into a prime (97835263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117602 + ... + 118430.

Almost surely, 2^97835264 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 97835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97974030).

97835264 is an abundant number, since it is smaller than the sum of its proper divisors (98112796).

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

97835264 is an equidigital number, since it uses as much as digits as its factorization.

97835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1292 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 97835264 is about 9891.1710125748. The cubic root of 97835264 is about 460.7851493414.

The spelling of 97835264 in words is "ninety-seven million, eight hundred thirty-five thousand, two hundred sixty-four".