82231461 has 48 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 48761856.

The previous prime is 82231447. The next prime is 82231469. The reversal of 82231461 is 16413228.

It can be written as a sum of positive squares in 8 ways, for example, as 16524225 + 65707236 = 4065^2 + 8106^2 .

It is not a de Polignac number, because 82231461 - 2⁹ = 82230949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82231469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551815 + ... + 551963.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^82231461 is an apocalyptic number.

It is an amenable number.

82231461 is a deficient number, since it is larger than the sum of its proper divisors (50446539).

82231461 is a wasteful number, since it uses less digits than its factorization.

82231461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 82231461 is about 9068.1564278524. The cubic root of 82231461 is about 434.8565361229.

Adding to 82231461 its reverse (16413228), we get a palindrome (98644689).

The spelling of 82231461 in words is "eighty-two million, two hundred thirty-one thousand, four hundred sixty-one".