97546920 has 64 divisors (see below), whose sum is σ = 293872320. Its totient is φ = 25903104.

The previous prime is 97546903. The next prime is 97546927. The reversal of 97546920 is 2964579.

It is not an unprimeable number, because it can be changed into a prime (97546927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29259 + ... + 32421.

It is an arithmetic number, because the mean of its divisors is an integer number (4591755).

Almost surely, 2^97546920 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 97546920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146936160).

97546920 is an abundant number, since it is smaller than the sum of its proper divisors (196325400).

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

97546920 is a wasteful number, since it uses less digits than its factorization.

97546920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 97546920 is about 9876.5844298523. The cubic root of 97546920 is about 460.3320224224.

It can be divided in two parts, 975 and 46920, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 97546920 in words is "ninety-seven million, five hundred forty-six thousand, nine hundred twenty".