828577 has 2 divisors, whose sum is σ = 828578. Its totient is φ = 828576.

The previous prime is 828557. The next prime is 828587. The reversal of 828577 is 775828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 463761 + 364816 = 681^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 828577 - 2⁷ = 828449 is a prime.

It is a d-powerful number, because it can be written as 8 + 2⁸ + 5⁴ + 8⁴ + 7² + 7⁷ .

828577 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (828517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414288 + 414289.

It is an arithmetic number, because the mean of its divisors is an integer number (414289).

2⁸²⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

828577 is a deficient number, since it is larger than the sum of its proper divisors (1).

828577 is an equidigital number, since it uses as much as digits as its factorization.

828577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31360, while the sum is 37.

The square root of 828577 is about 910.2620501812. The cubic root of 828577 is about 93.9242259421.

The spelling of 828577 in words is "eight hundred twenty-eight thousand, five hundred seventy-seven".