97954272 has 336 divisors, whose sum is σ = 347049360. Its totient is φ = 26873856.

The previous prime is 97954271. The next prime is 97954277. The reversal of 97954272 is 27245979.

Its product of digits (317520) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97954271) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5155479 + ... + 5155497.

It is an arithmetic number, because the mean of its divisors is an integer number (1032885).

Almost surely, 2^97954272 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 97954272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173524680).

97954272 is an abundant number, since it is smaller than the sum of its proper divisors (249095088).

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

97954272 is a wasteful number, since it uses less digits than its factorization.

97954272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 97954272 is about 9897.1850543475. The cubic root of 97954272 is about 460.9719085152.

The spelling of 97954272 in words is "ninety-seven million, nine hundred fifty-four thousand, two hundred seventy-two".