97254144 has 216 divisors, whose sum is σ = 321414912. Its totient is φ = 28016640.

The previous prime is 97254109. The next prime is 97254149. The reversal of 97254144 is 44145279.

It is a happy number.

97254144 is a `hidden beast` number, since 9 + 72 + 541 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97254099 and 97254108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97254149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509089 + ... + 509279.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^97254144 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 97254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

97254144 is an abundant number, since it is smaller than the sum of its proper divisors (224160768).

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

97254144 is a wasteful number, since it uses less digits than its factorization.

97254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 97254144 is about 9861.7515685602. The cubic root of 97254144 is about 459.8710161363.

The spelling of 97254144 in words is "ninety-seven million, two hundred fifty-four thousand, one hundred forty-four".