97239321 has 27 divisors (see below), whose sum is σ = 149100159. Its totient is φ = 61059312.

The previous prime is 97239277. The next prime is 97239347. The reversal of 97239321 is 12393279.

The square root of 97239321 is 9861.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 88454025 + 8785296 = 9405^2 + 2964^2 .

It is not a de Polignac number, because 97239321 - 2¹⁹ = 96715033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97239361) 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 26 ways as a sum of consecutive naturals, for example, 561991 + ... + 562163.

Almost surely, 2^97239321 is an apocalyptic number.

97239321 is the 9861-st square number.

97239321 is the 4931-st centered octagonal number.

It is an amenable number.

97239321 is a deficient number, since it is larger than the sum of its proper divisors (51860838).

97239321 is a wasteful number, since it uses less digits than its factorization.

97239321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The cubic root of 97239321 is about 459.8476511870.

Multiplying 97239321 by its sum of digits (36), we get a square (3500615556 = 59166²).

It can be divided in two parts, 9723 and 9321, that added together give a square (19044 = 138²).

The spelling of 97239321 in words is "ninety-seven million, two hundred thirty-nine thousand, three hundred twenty-one".