97045200 has 180 divisors, whose sum is σ = 384984288. Its totient is φ = 22176000.

The previous prime is 97045171. The next prime is 97045229. The reversal of 97045200 is 254079.

It is an interprime number because it is at equal distance from previous prime (97045171) and next prime (97045229).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23275 + ... + 27125.

Almost surely, 2^97045200 is an apocalyptic number.

97045200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192492144).

97045200 is an abundant number, since it is smaller than the sum of its proper divisors (287939088).

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

97045200 is a wasteful number, since it uses less digits than its factorization.

97045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 97045200 is about 9851.1522168729. The cubic root of 97045200 is about 459.5414460009.

Adding to 97045200 its reverse (254079), we get a palindrome (97299279).

The spelling of 97045200 in words is "ninety-seven million, forty-five thousand, two hundred".