85821829 has 2 divisors, whose sum is σ = 85821830. Its totient is φ = 85821828.

The previous prime is 85821781. The next prime is 85821863. The reversal of 85821829 is 92812858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78676900 + 7144929 = 8870^2 + 2673^2 .

It is a cyclic number.

It is not a de Polignac number, because 85821829 - 2⁹ = 85821317 is a prime.

It is equal to p_4988707 and since 85821829 and 4988707 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85821529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42910914 + 42910915.

It is an arithmetic number, because the mean of its divisors is an integer number (42910915).

Almost surely, 2^85821829 is an apocalyptic number.

It is an amenable number.

85821829 is a deficient number, since it is larger than the sum of its proper divisors (1).

85821829 is an equidigital number, since it uses as much as digits as its factorization.

85821829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 92160, while the sum is 43.

The square root of 85821829 is about 9264.0071783219. The cubic root of 85821829 is about 441.0954608127.

The spelling of 85821829 in words is "eighty-five million, eight hundred twenty-one thousand, eight hundred twenty-nine".