82310004 has 108 divisors (see below), whose sum is σ = 250532100. Its totient is φ = 22692096.

The previous prime is 82309999. The next prime is 82310027. The reversal of 82310004 is 40001328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 15920100 = 8148^2 + 3990^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 50352 + ... + 51960.

Almost surely, 2^82310004 is an apocalyptic number.

82310004 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 82310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125266050).

82310004 is an abundant number, since it is smaller than the sum of its proper divisors (168222096).

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

82310004 is a wasteful number, since it uses less digits than its factorization.

82310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82310004 is about 9072.4860980880. The cubic root of 82310004 is about 434.9949424699.

The spelling of 82310004 in words is "eighty-two million, three hundred ten thousand, four".