82258720 has 24 divisors (see below), whose sum is σ = 194336604. Its totient is φ = 32903424.

The previous prime is 82258697. The next prime is 82258721. The reversal of 82258720 is 2785228.

It can be written as a sum of positive squares in 2 ways, for example, as 75968656 + 6290064 = 8716^2 + 2508^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82258721) 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, 256899 + ... + 257218.

Almost surely, 2^82258720 is an apocalyptic number.

82258720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82258720 is an abundant number, since it is smaller than the sum of its proper divisors (112077884).

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

82258720 is a wasteful number, since it uses less digits than its factorization.

82258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514132 (or 514124 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 82258720 is about 9069.6593100292. The cubic root of 82258720 is about 434.9045811761.

The spelling of 82258720 in words is "eighty-two million, two hundred fifty-eight thousand, seven hundred twenty".