97934000 has 80 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 37452800.

The previous prime is 97933973. The next prime is 97934029. The reversal of 97934000 is 43979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44936 + ... + 47064.

It is an arithmetic number, because the mean of its divisors is an integer number (3090204).

Almost surely, 2^97934000 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 97934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123608160).

97934000 is an abundant number, since it is smaller than the sum of its proper divisors (149282320).

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

97934000 is a wasteful number, since it uses less digits than its factorization.

97934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 97934000 is about 9896.1608717724. The cubic root of 97934000 is about 460.9401063723.

Adding to 97934000 its reverse (43979), we get a palindrome (97977979).

The spelling of 97934000 in words is "ninety-seven million, nine hundred thirty-four thousand".