97891248 has 160 divisors (see below), whose sum is σ = 316535296. Its totient is φ = 25380864.

The previous prime is 97891247. The next prime is 97891259. The reversal of 97891248 is 84219879.

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 = 97891197 and 97891206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97891247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318711 + ... + 319017.

Almost surely, 2^97891248 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 97891248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158267648).

97891248 is an abundant number, since it is smaller than the sum of its proper divisors (218644048).

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

97891248 is a wasteful number, since it uses less digits than its factorization.

97891248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 97891248 is about 9894.0006064281. Note that the first 3 decimals coincide. The cubic root of 97891248 is about 460.8730238487.

The spelling of 97891248 in words is "ninety-seven million, eight hundred ninety-one thousand, two hundred forty-eight".