97827912 has 288 divisors, whose sum is σ = 348566400. Its totient is φ = 25474176.

The previous prime is 97827883. The next prime is 97827913. The reversal of 97827912 is 21972879.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (97827913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1238289 + ... + 1238367.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 2^97827912 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 97827912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200).

97827912 is an abundant number, since it is smaller than the sum of its proper divisors (250738488).

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

97827912 is a wasteful number, since it uses less digits than its factorization.

97827912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 97827912 is about 9890.7993610223. The cubic root of 97827912 is about 460.7736068868.

The spelling of 97827912 in words is "ninety-seven million, eight hundred twenty-seven thousand, nine hundred twelve".