83673000 has 160 divisors (see below), whose sum is σ = 292766760. Its totient is φ = 22291200.

The previous prime is 83672987. The next prime is 83673001. The reversal of 83673000 is 37638.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49028004 + 34644996 = 7002^2 + 5886^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83673001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80484 + ... + 81516.

Almost surely, 2^83673000 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 83673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146383380).

83673000 is an abundant number, since it is smaller than the sum of its proper divisors (209093760).

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

83673000 is a wasteful number, since it uses less digits than its factorization.

83673000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 83673000 is about 9147.2946820358. The cubic root of 83673000 is about 437.3828802142.

The spelling of 83673000 in words is "eighty-three million, six hundred seventy-three thousand".