97129200 has 240 divisors, whose sum is σ = 368039936. Its totient is φ = 21427200.

The previous prime is 97129133. The next prime is 97129243. The reversal of 97129200 is 292179.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260214 + ... + 260586.

Almost surely, 2^97129200 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 97129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019968).

97129200 is an abundant number, since it is smaller than the sum of its proper divisors (270910736).

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

97129200 is a wasteful number, since it uses less digits than its factorization.

97129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 97129200 is about 9855.4147553515. The cubic root of 97129200 is about 459.6739971191.

The spelling of 97129200 in words is "ninety-seven million, one hundred twenty-nine thousand, two hundred".