83419000 has 128 divisors (see below), whose sum is σ = 236545920. Its totient is φ = 26880000.

The previous prime is 83418997. The next prime is 83419001. The reversal of 83419000 is 91438.

It is a super-2 number, since 2×83419000² = 13917459122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83419001) 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 31 ways as a sum of consecutive naturals, for example, 118650 + ... + 119350.

It is an arithmetic number, because the mean of its divisors is an integer number (1848015).

Almost surely, 2^83419000 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 83419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118272960).

83419000 is an abundant number, since it is smaller than the sum of its proper divisors (153126920).

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

83419000 is a wasteful number, since it uses less digits than its factorization.

83419000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 83419000 is about 9133.4002430639. The cubic root of 83419000 is about 436.9398545623.

The spelling of 83419000 in words is "eighty-three million, four hundred nineteen thousand".