82813000 has 32 divisors (see below), whose sum is σ = 193784760. Its totient is φ = 33124800.

The previous prime is 82812979. The next prime is 82813007. The reversal of 82813000 is 31828.

It can be written as a sum of positive squares in 4 ways, for example, as 33616804 + 49196196 = 5798^2 + 7014^2 .

It is not an unprimeable number, because it can be changed into a prime (82813007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40407 + ... + 42406.

Almost surely, 2^82813000 is an apocalyptic number.

It is an amenable number.

82813000 is an abundant number, since it is smaller than the sum of its proper divisors (110971760).

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

82813000 is a wasteful number, since it uses less digits than its factorization.

82813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82834 (or 82820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 82813000 is about 9100.1648336720. The cubic root of 82813000 is about 435.8792275540.

Adding to 82813000 its reverse (31828), we get a palindrome (82844828).

The spelling of 82813000 in words is "eighty-two million, eight hundred thirteen thousand".