82140030 has 96 divisors (see below), whose sum is σ = 245539008. Its totient is φ = 18662400.

The previous prime is 82140029. The next prime is 82140031. The reversal of 82140030 is 3004128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82140029) and next prime (82140031).

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

It is a junction number, because it is equal to n+sod(n) for n = 82139985 and 82140012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82140031) 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 47 ways as a sum of consecutive naturals, for example, 151560 + ... + 152100.

It is an arithmetic number, because the mean of its divisors is an integer number (2557698).

Almost surely, 2^82140030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82140030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122769504).

82140030 is an abundant number, since it is smaller than the sum of its proper divisors (163398978).

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

82140030 is a wasteful number, since it uses less digits than its factorization.

82140030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

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

The square root of 82140030 is about 9063.1137033582. The cubic root of 82140030 is about 434.6953078356.

Adding to 82140030 its reverse (3004128), we get a palindrome (85144158).

The spelling of 82140030 in words is "eighty-two million, one hundred forty thousand, thirty".