97653348 has 144 divisors (see below), whose sum is σ = 281788416. Its totient is φ = 28304640.

The previous prime is 97653343. The next prime is 97653359. The reversal of 97653348 is 84335679.

97653348 is a `hidden beast` number, since 9 + 76 + 533 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (97653343) 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 47 ways as a sum of consecutive naturals, for example, 768861 + ... + 768987.

It is an arithmetic number, because the mean of its divisors is an integer number (1956864).

Almost surely, 2^97653348 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 97653348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

97653348 is an abundant number, since it is smaller than the sum of its proper divisors (184135068).

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

97653348 is a wasteful number, since it uses less digits than its factorization.

97653348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 97653348 is about 9881.9708560590. The cubic root of 97653348 is about 460.4993757662.

The spelling of 97653348 in words is "ninety-seven million, six hundred fifty-three thousand, three hundred forty-eight".