97945400 has 96 divisors (see below), whose sum is σ = 266471040. Its totient is φ = 32780160.

The previous prime is 97945387. The next prime is 97945403. The reversal of 97945400 is 454979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97945403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59387 + ... + 61013.

It is an arithmetic number, because the mean of its divisors is an integer number (2775740).

Almost surely, 2^97945400 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 97945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133235520).

97945400 is an abundant number, since it is smaller than the sum of its proper divisors (168525640).

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

97945400 is a wasteful number, since it uses less digits than its factorization.

97945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 97945400 is about 9896.7368359475. The cubic root of 97945400 is about 460.9579909113.

The spelling of 97945400 in words is "ninety-seven million, nine hundred forty-five thousand, four hundred".