97528901 has 16 divisors (see below), whose sum is σ = 105283584. Its totient is φ = 90120624.

The previous prime is 97528891. The next prime is 97528903. The reversal of 97528901 is 10982579.

It is not a de Polignac number, because 97528901 - 2¹⁴ = 97512517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97528903) 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 15 ways as a sum of consecutive naturals, for example, 89180 + ... + 90266.

It is an arithmetic number, because the mean of its divisors is an integer number (6580224).

Almost surely, 2^97528901 is an apocalyptic number.

It is an amenable number.

97528901 is a deficient number, since it is larger than the sum of its proper divisors (7754683).

97528901 is a wasteful number, since it uses less digits than its factorization.

97528901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 97528901 is about 9875.6721796544. The cubic root of 97528901 is about 460.3036762908.

The spelling of 97528901 in words is "ninety-seven million, five hundred twenty-eight thousand, nine hundred one".