82521577 has 2 divisors, whose sum is σ = 82521578. Its totient is φ = 82521576.

The previous prime is 82521529. The next prime is 82521623. The reversal of 82521577 is 77512528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45846441 + 36675136 = 6771^2 + 6056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82521577 is a prime.

It is equal to p_4807963 and since 82521577 and 4807963 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (82522577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41260788 + 41260789.

It is an arithmetic number, because the mean of its divisors is an integer number (41260789).

Almost surely, 2^82521577 is an apocalyptic number.

It is an amenable number.

82521577 is a deficient number, since it is larger than the sum of its proper divisors (1).

82521577 is an equidigital number, since it uses as much as digits as its factorization.

82521577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39200, while the sum is 37.

The square root of 82521577 is about 9084.1387593982. The cubic root of 82521577 is about 435.3673331783.

The spelling of 82521577 in words is "eighty-two million, five hundred twenty-one thousand, five hundred seventy-seven".