97894900 has 72 divisors (see below), whose sum is σ = 228985344. Its totient is φ = 36220800.

The previous prime is 97894889. The next prime is 97894919. The reversal of 97894900 is 949879.

It is a super-2 number, since 2×97894900² = 19166822892020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70614 + ... + 71986.

It is an arithmetic number, because the mean of its divisors is an integer number (3180352).

Almost surely, 2^97894900 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 97894900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114492672).

97894900 is an abundant number, since it is smaller than the sum of its proper divisors (131090444).

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

97894900 is a wasteful number, since it uses less digits than its factorization.

97894900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 97894900 is about 9894.1851609923. The cubic root of 97894900 is about 460.8787549955.

The spelling of 97894900 in words is "ninety-seven million, eight hundred ninety-four thousand, nine hundred".