97227648 has 128 divisors (see below), whose sum is σ = 328032000. Its totient is φ = 27772416.

The previous prime is 97227593. The next prime is 97227671. The reversal of 97227648 is 84672279.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×97227648² = 18906431071223808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22183 + ... + 26201.

It is an arithmetic number, because the mean of its divisors is an integer number (2562750).

Almost surely, 2^97227648 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 97227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164016000).

97227648 is an abundant number, since it is smaller than the sum of its proper divisors (230804352).

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

97227648 is a wasteful number, since it uses less digits than its factorization.

97227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4031 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 97227648 is about 9860.4081051445. The cubic root of 97227648 is about 459.8292497955.

It can be divided in two parts, 972 and 27648, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 97227648 in words is "ninety-seven million, two hundred twenty-seven thousand, six hundred forty-eight".