82821040 has 20 divisors (see below), whose sum is σ = 192559104. Its totient is φ = 33128384.

The previous prime is 82821029. The next prime is 82821041. The reversal of 82821040 is 4012828.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 82820996 and 82821014.

It is not an unprimeable number, because it can be changed into a prime (82821041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 517552 + ... + 517711.

Almost surely, 2^82821040 is an apocalyptic number.

82821040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82821040 is an abundant number, since it is smaller than the sum of its proper divisors (109738064).

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

82821040 is a wasteful number, since it uses less digits than its factorization.

82821040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035276 (or 1035270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82821040 is about 9100.6065731906. The cubic root of 82821040 is about 435.8933330510.

Adding to 82821040 its reverse (4012828), we get a palindrome (86833868).

The spelling of 82821040 in words is "eighty-two million, eight hundred twenty-one thousand, forty".