82357281 has 12 divisors (see below), whose sum is σ = 119284308. Its totient is φ = 54755424.

The previous prime is 82357279. The next prime is 82357313. The reversal of 82357281 is 18275328.

82357281 is a `hidden beast` number, since 8 + 2 + 3 + 572 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17715681 + 64641600 = 4209^2 + 8040^2 .

It is not a de Polignac number, because 82357281 - 2¹ = 82357279 is a prime.

It is a super-2 number, since 2×82357281² = 13565443467425922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (82357201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8910 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (9940359).

Almost surely, 2^82357281 is an apocalyptic number.

It is an amenable number.

82357281 is a deficient number, since it is larger than the sum of its proper divisors (36927027).

82357281 is a wasteful number, since it uses less digits than its factorization.

82357281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24912 (or 24909 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82357281 is about 9075.0912392108. The cubic root of 82357281 is about 435.0782102735.

The spelling of 82357281 in words is "eighty-two million, three hundred fifty-seven thousand, two hundred eighty-one".