36205123 has 2 divisors, whose sum is σ = 36205124. Its totient is φ = 36205122.

The previous prime is 36205073. The next prime is 36205133. The reversal of 36205123 is 32150263.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36205123 - 2²¹ = 34107971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36205094 and 36205103.

It is not a weakly prime, because it can be changed into another prime (36205133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18102561 + 18102562.

It is an arithmetic number, because the mean of its divisors is an integer number (18102562).

Almost surely, 2^36205123 is an apocalyptic number.

36205123 is a deficient number, since it is larger than the sum of its proper divisors (1).

36205123 is an equidigital number, since it uses as much as digits as its factorization.

36205123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 36205123 is about 6017.0693032406. The cubic root of 36205123 is about 330.8186683064.

Adding to 36205123 its reverse (32150263), we get a palindrome (68355386).

The spelling of 36205123 in words is "thirty-six million, two hundred five thousand, one hundred twenty-three".