83349000 has 384 divisors, whose sum is σ = 340704000. Its totient is φ = 19051200.

The previous prime is 83348999. The next prime is 83349017. The reversal of 83349000 is 94338.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11906997 + ... + 11907003.

It is an arithmetic number, because the mean of its divisors is an integer number (887250).

Almost surely, 2^83349000 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 83349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352000).

83349000 is an abundant number, since it is smaller than the sum of its proper divisors (257355000).

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

83349000 is an equidigital number, since it uses as much as digits as its factorization.

83349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

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

The square root of 83349000 is about 9129.5673500993. The cubic root of 83349000 is about 436.8176028409.

The spelling of 83349000 in words is "eighty-three million, three hundred forty-nine thousand".