82993220 has 24 divisors (see below), whose sum is σ = 178997784. Its totient is φ = 32299776.

The previous prime is 82993217. The next prime is 82993259. The reversal of 82993220 is 2239928.

It can be written as a sum of positive squares in 4 ways, for example, as 27520516 + 55472704 = 5246^2 + 7448^2 .

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, 55337 + ... + 56816.

It is an arithmetic number, because the mean of its divisors is an integer number (7458241).

Almost surely, 2^82993220 is an apocalyptic number.

It is an amenable number.

82993220 is an abundant number, since it is smaller than the sum of its proper divisors (96004564).

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

82993220 is a wasteful number, since it uses less digits than its factorization.

82993220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112199 (or 112197 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 82993220 is about 9110.0614707037. The cubic root of 82993220 is about 436.1951893766.

It can be divided in two parts, 829 and 93220, that added together give a palindrome (94049).

The spelling of 82993220 in words is "eighty-two million, nine hundred ninety-three thousand, two hundred twenty".