829057 has 2 divisors, whose sum is σ = 829058. Its totient is φ = 829056.

The previous prime is 829013. The next prime is 829063. The reversal of 829057 is 750928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 361201 = 684^2 + 601^2 .

It is a cyclic number.

It is not a de Polignac number, because 829057 - 2¹¹ = 827009 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹² + 0 + 9³ + 5⁴ + 7⁷ .

It is not a weakly prime, because it can be changed into another prime (829097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414528 + 414529.

It is an arithmetic number, because the mean of its divisors is an integer number (414529).

2⁸²⁹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

829057 is a deficient number, since it is larger than the sum of its proper divisors (1).

829057 is an equidigital number, since it uses as much as digits as its factorization.

829057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 829057 is about 910.5256723454. The cubic root of 829057 is about 93.9423594109.

The spelling of 829057 in words is "eight hundred twenty-nine thousand, fifty-seven".