82621305 has 24 divisors (see below), whose sum is σ = 154227528. Its totient is φ = 40674816.

The previous prime is 82621303. The next prime is 82621321. The reversal of 82621305 is 50312628.

82621305 is a `hidden beast` number, since 8 + 2 + 621 + 30 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 82246761 = 612^2 + 9069^2 .

It is not a de Polignac number, because 82621305 - 2¹ = 82621303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82621303) 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, 70032 + ... + 71201.

It is an arithmetic number, because the mean of its divisors is an integer number (6426147).

Almost surely, 2^82621305 is an apocalyptic number.

It is an amenable number.

82621305 is a deficient number, since it is larger than the sum of its proper divisors (71606223).

82621305 is a wasteful number, since it uses less digits than its factorization.

82621305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141257 (or 141254 counting only the distinct ones).

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

The square root of 82621305 is about 9089.6262299393. The cubic root of 82621305 is about 435.5426442353.

The spelling of 82621305 in words is "eighty-two million, six hundred twenty-one thousand, three hundred five".