82816420 has 12 divisors (see below), whose sum is σ = 173914524. Its totient is φ = 33126560.

The previous prime is 82816417. The next prime is 82816423. The reversal of 82816420 is 2461828.

It is an interprime number because it is at equal distance from previous prime (82816417) and next prime (82816423).

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 48804196 = 5832^2 + 6986^2 .

It is not an unprimeable number, because it can be changed into a prime (82816423) 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, 2070391 + ... + 2070430.

It is an arithmetic number, because the mean of its divisors is an integer number (14492877).

Almost surely, 2^82816420 is an apocalyptic number.

It is an amenable number.

82816420 is an abundant number, since it is smaller than the sum of its proper divisors (91098104).

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

82816420 is a wasteful number, since it uses less digits than its factorization.

82816420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140830 (or 4140828 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 82816420 is about 9100.3527404162. The cubic root of 82816420 is about 435.8852277650.

The spelling of 82816420 in words is "eighty-two million, eight hundred sixteen thousand, four hundred twenty".