97585248 has 48 divisors (see below), whose sum is σ = 262419696. Its totient is φ = 31733760.

The previous prime is 97585231. The next prime is 97585259. The reversal of 97585248 is 84258579.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 97585197 and 97585206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8461 + ... + 16332.

It is an arithmetic number, because the mean of its divisors is an integer number (5467077).

Almost surely, 2^97585248 is an apocalyptic number.

It is an amenable number.

97585248 is an abundant number, since it is smaller than the sum of its proper divisors (164834448).

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

97585248 is a wasteful number, since it uses less digits than its factorization.

97585248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24847 (or 24839 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 97585248 is about 9878.5245861920. The cubic root of 97585248 is about 460.3923055334.

The spelling of 97585248 in words is "ninety-seven million, five hundred eighty-five thousand, two hundred forty-eight".