83465844 has 96 divisors (see below), whose sum is σ = 245446656. Its totient is φ = 21444480.

The previous prime is 83465839. The next prime is 83465861. The reversal of 83465844 is 44856438.

It is a super-2 number, since 2×83465844² = 13933094229264672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 83465796 and 83465805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94734 + ... + 95610.

It is an arithmetic number, because the mean of its divisors is an integer number (2556736).

Almost surely, 2^83465844 is an apocalyptic number.

83465844 is a gapful number since it is divisible by the number (84) 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 83465844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122723328).

83465844 is an abundant number, since it is smaller than the sum of its proper divisors (161980812).

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

83465844 is a wasteful number, since it uses less digits than its factorization.

83465844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1003 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 83465844 is about 9135.9643169181. The cubic root of 83465844 is about 437.0216272218.

The spelling of 83465844 in words is "eighty-three million, four hundred sixty-five thousand, eight hundred forty-four".