97225312842 has 72 divisors (see below), whose sum is σ = 245248322436. Its totient is φ = 27755892864.

The previous prime is 97225312837. The next prime is 97225312843. The reversal of 97225312842 is 24821352279.

97225312842 is a `hidden beast` number, since 9 + 72 + 2 + 531 + 2 + 8 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96218456481 + 1006856361 = 310191^2 + 31731^2 .

It is a super-2 number, since 2×97225312842² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97225312843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1046478 + ... + 1135590.

Almost surely, 2^97225312842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97225312842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122624161218).

97225312842 is an abundant number, since it is smaller than the sum of its proper divisors (148023009594).

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

97225312842 is a wasteful number, since it uses less digits than its factorization.

97225312842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90372 (or 90362 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 97225312842 in words is "ninety-seven billion, two hundred twenty-five million, three hundred twelve thousand, eight hundred forty-two".