97275360 has 384 divisors, whose sum is σ = 402361344. Its totient is φ = 19169280.

The previous prime is 97275359. The next prime is 97275361. The reversal of 97275360 is 6357279.

It is an interprime number because it is at equal distance from previous prime (97275359) and next prime (97275361).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97275361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742495 + ... + 742625.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 2^97275360 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 97275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

97275360 is an abundant number, since it is smaller than the sum of its proper divisors (305085984).

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

97275360 is a wasteful number, since it uses less digits than its factorization.

97275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 97275360 is about 9862.8271808848. The cubic root of 97275360 is about 459.9044540057.

The spelling of 97275360 in words is "ninety-seven million, two hundred seventy-five thousand, three hundred sixty".