97837128 has 48 divisors (see below), whose sum is σ = 266760000. Its totient is φ = 32392800.

The previous prime is 97837123. The next prime is 97837133. The reversal of 97837128 is 82173879.

It is an interprime number because it is at equal distance from previous prime (97837123) and next prime (97837133).

It is not an unprimeable number, because it can be changed into a prime (97837123) 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 11 ways as a sum of consecutive naturals, for example, 6373 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (5557500).

Almost surely, 2^97837128 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 97837128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380000).

97837128 is an abundant number, since it is smaller than the sum of its proper divisors (168922872).

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

97837128 is a wasteful number, since it uses less digits than its factorization.

97837128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9155 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 97837128 is about 9891.2652375720. The cubic root of 97837128 is about 460.7880756825.

It can be divided in two parts, 97 and 837128, that added together give a square (837225 = 915²).

The spelling of 97837128 in words is "ninety-seven million, eight hundred thirty-seven thousand, one hundred twenty-eight".