205212517 has 2 divisors, whose sum is σ = 205212518. Its totient is φ = 205212516.

The previous prime is 205212493. The next prime is 205212541. The reversal of 205212517 is 715212502.

It is a balanced prime because it is at equal distance from previous prime (205212493) and next prime (205212541).

It can be written as a sum of positive squares in only one way, i.e., 198274561 + 6937956 = 14081^2 + 2634^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205212517 is a prime.

It is a super-2 number, since 2×205212517² = 84224354266950578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205212491 and 205212500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205212587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102606258 + 102606259.

It is an arithmetic number, because the mean of its divisors is an integer number (102606259).

Almost surely, 2^205212517 is an apocalyptic number.

It is an amenable number.

205212517 is a deficient number, since it is larger than the sum of its proper divisors (1).

205212517 is an equidigital number, since it uses as much as digits as its factorization.

205212517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 205212517 is about 14325.2405564444. The cubic root of 205212517 is about 589.8405362398.

The spelling of 205212517 in words is "two hundred five million, two hundred twelve thousand, five hundred seventeen".