82428241 has 9 divisors (see below), whose sum is σ = 95959899. Its totient is φ = 70598304.

The previous prime is 82428239. The next prime is 82428253. The reversal of 82428241 is 14282428.

The square root of 82428241 is 9079.

It is a perfect power (a square), and thus also a powerful number.

82428241 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 82174225 + 254016 = 9065^2 + 504^2 .

It is not a de Polignac number, because 82428241 - 2¹ = 82428239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82428211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62905 + ... + 64201.

It is an arithmetic number, because the mean of its divisors is an integer number (10662211).

Almost surely, 2^82428241 is an apocalyptic number.

82428241 is the 9079-th square number.

82428241 is the 4540-th centered octagonal number.

It is an amenable number.

82428241 is a deficient number, since it is larger than the sum of its proper divisors (13531658).

82428241 is an frugal number, since it uses more digits than its factorization.

82428241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 1304 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The cubic root of 82428241 is about 435.2031305671.

The spelling of 82428241 in words is "eighty-two million, four hundred twenty-eight thousand, two hundred forty-one".