97273800 has 144 divisors (see below), whose sum is σ = 351891540. Its totient is φ = 23938560.

The previous prime is 97273793. The next prime is 97273829. The reversal of 97273800 is 837279.

It can be written as a sum of positive squares in 6 ways, for example, as 16597476 + 80676324 = 4074^2 + 8982^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21322 + ... + 25478.

Almost surely, 2^97273800 is an apocalyptic number.

97273800 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 97273800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175945770).

97273800 is an abundant number, since it is smaller than the sum of its proper divisors (254617740).

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

97273800 is a wasteful number, since it uses less digits than its factorization.

97273800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 97273800 is about 9862.7480957388. The cubic root of 97273800 is about 459.9019955044.

It can be divided in two parts, 9 and 7273800, that added together give a square (7273809 = 2697²).

The spelling of 97273800 in words is "ninety-seven million, two hundred seventy-three thousand, eight hundred".