20585429 has 2 divisors, whose sum is σ = 20585430. Its totient is φ = 20585428.

The previous prime is 20585399. The next prime is 20585441. The reversal of 20585429 is 92458502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19140625 + 1444804 = 4375^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 20585429 - 2¹² = 20581333 is a prime.

It is a super-2 number, since 2×20585429² = 847519774228082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20585459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10292714 + 10292715.

It is an arithmetic number, because the mean of its divisors is an integer number (10292715).

Almost surely, 2^20585429 is an apocalyptic number.

It is an amenable number.

20585429 is a deficient number, since it is larger than the sum of its proper divisors (1).

20585429 is an equidigital number, since it uses as much as digits as its factorization.

20585429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 20585429 is about 4537.1168157763. The cubic root of 20585429 is about 274.0648300607.

The spelling of 20585429 in words is "twenty million, five hundred eighty-five thousand, four hundred twenty-nine".