82305261 has 8 divisors (see below), whose sum is σ = 121933760. Its totient is φ = 54870156.

The previous prime is 82305257. The next prime is 82305263. The reversal of 82305261 is 16250328.

It is not a de Polignac number, because 82305261 - 2² = 82305257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3048343 = 82305261 / (8 + 2 + 3 + 0 + 5 + 2 + 6 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82305263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1524145 + ... + 1524198.

It is an arithmetic number, because the mean of its divisors is an integer number (15241720).

Almost surely, 2^82305261 is an apocalyptic number.

It is an amenable number.

82305261 is a deficient number, since it is larger than the sum of its proper divisors (39628499).

82305261 is a wasteful number, since it uses less digits than its factorization.

82305261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048352 (or 3048346 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82305261 is about 9072.2246995982. The cubic root of 82305261 is about 434.9865869824.

Adding to 82305261 its reverse (16250328), we get a palindrome (98555589).

The spelling of 82305261 in words is "eighty-two million, three hundred five thousand, two hundred sixty-one".