82501220 has 24 divisors (see below), whose sum is σ = 175203000. Its totient is φ = 32628992.

The previous prime is 82501213. The next prime is 82501241. The reversal of 82501220 is 2210528.

82501220 = T₄₉₅ + T₄₉₆ + ... + T₈₅₀.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 82482724 = 136^2 + 9082^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82501192 and 82501201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21395 + ... + 24954.

It is an arithmetic number, because the mean of its divisors is an integer number (7300125).

Almost surely, 2^82501220 is an apocalyptic number.

It is an amenable number.

82501220 is an abundant number, since it is smaller than the sum of its proper divisors (92701780).

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

82501220 is a wasteful number, since it uses less digits than its factorization.

82501220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46447 (or 46445 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 82501220 is about 9083.0182208339. The cubic root of 82501220 is about 435.3315304142.

Adding to 82501220 its reverse (2210528), we get a palindrome (84711748).

The spelling of 82501220 in words is "eighty-two million, five hundred one thousand, two hundred twenty".