82431000 has 256 divisors, whose sum is σ = 296524800. Its totient is φ = 21168000.

The previous prime is 82430993. The next prime is 82431007. The reversal of 82431000 is 13428.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82430993) and next prime (82431007).

It is a super-2 number, since 2×82431000² = 13589739522000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82431007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160965 + ... + 1161035.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^82431000 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 82431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

82431000 is an abundant number, since it is smaller than the sum of its proper divisors (214093800).

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

82431000 is a wasteful number, since it uses less digits than its factorization.

82431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

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

The square root of 82431000 is about 9079.1519427753. The cubic root of 82431000 is about 435.2079861523.

Adding to 82431000 its reverse (13428), we get a palindrome (82444428).

The spelling of 82431000 in words is "eighty-two million, four hundred thirty-one thousand".