97328127 has 48 divisors (see below), whose sum is σ = 152936448. Its totient is φ = 54665280.

The previous prime is 97328113. The next prime is 97328159. The reversal of 97328127 is 72182379.

It is not a de Polignac number, because 97328127 - 2¹¹ = 97326079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97328327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436338 + ... + 436560.

It is an arithmetic number, because the mean of its divisors is an integer number (3186176).

Almost surely, 2^97328127 is an apocalyptic number.

97328127 is a deficient number, since it is larger than the sum of its proper divisors (55608321).

97328127 is a wasteful number, since it uses less digits than its factorization.

97328127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 289 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 97328127 is about 9865.5018625511. The cubic root of 97328127 is about 459.9875973342.

The spelling of 97328127 in words is "ninety-seven million, three hundred twenty-eight thousand, one hundred twenty-seven".