83493000 has 96 divisors (see below), whose sum is σ = 282236760. Its totient is φ = 22262400.

The previous prime is 83492917. The next prime is 83493023. The reversal of 83493000 is 39438.

It can be written as a sum of positive squares in 4 ways, for example, as 38415204 + 45077796 = 6198^2 + 6714^2 .

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, 4362 + ... + 13638.

Almost surely, 2^83493000 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 83493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141118380).

83493000 is an abundant number, since it is smaller than the sum of its proper divisors (198743760).

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

83493000 is a wasteful number, since it uses less digits than its factorization.

83493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83493000 is about 9137.4504102622. The cubic root of 83493000 is about 437.0690177547.

The spelling of 83493000 in words is "eighty-three million, four hundred ninety-three thousand".