82948221 has 24 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 54216000.

The previous prime is 82948213. The next prime is 82948223. The reversal of 82948221 is 12284928.

It is not a de Polignac number, because 82948221 - 2³ = 82948213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82948223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164656 + ... + 165158.

It is an arithmetic number, because the mean of its divisors is an integer number (5090904).

Almost surely, 2^82948221 is an apocalyptic number.

It is an amenable number.

82948221 is a deficient number, since it is larger than the sum of its proper divisors (39233475).

82948221 is a wasteful number, since it uses less digits than its factorization.

82948221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 830 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82948221 is about 9107.5913939965. The cubic root of 82948221 is about 436.1163399803.

The spelling of 82948221 in words is "eighty-two million, nine hundred forty-eight thousand, two hundred twenty-one".