97393500 has 144 divisors (see below), whose sum is σ = 320943168. Its totient is φ = 24816000.

The previous prime is 97393463. The next prime is 97393507. The reversal of 97393500 is 539379.

It is a super-3 number, since 3×97393500³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97393507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103030 + ... + 103970.

It is an arithmetic number, because the mean of its divisors is an integer number (2228772).

Almost surely, 2^97393500 is an apocalyptic number.

97393500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97393500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160471584).

97393500 is an abundant number, since it is smaller than the sum of its proper divisors (223549668).

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

97393500 is a wasteful number, since it uses less digits than its factorization.

97393500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 97393500 is about 9868.8145184718. The cubic root of 97393500 is about 460.0905618797.

The spelling of 97393500 in words is "ninety-seven million, three hundred ninety-three thousand, five hundred".