97083000 has 384 divisors, whose sum is σ = 397163520. Its totient is φ = 20908800.

The previous prime is 97082987. The next prime is 97083001. The reversal of 97083000 is 38079.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97083001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448967 + ... + 1449033.

It is an arithmetic number, because the mean of its divisors is an integer number (1034280).

Almost surely, 2^97083000 is an apocalyptic number.

97083000 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 97083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198581760).

97083000 is an abundant number, since it is smaller than the sum of its proper divisors (300080520).

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

97083000 is a wasteful number, since it uses less digits than its factorization.

97083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97083000 is about 9853.0705873854. The cubic root of 97083000 is about 459.6011034657.

The spelling of 97083000 in words is "ninety-seven million, eighty-three thousand".