36005261 has 2 divisors, whose sum is σ = 36005262. Its totient is φ = 36005260.

The previous prime is 36005239. The next prime is 36005273. The reversal of 36005261 is 16250063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29214025 + 6791236 = 5405^2 + 2606^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36005261 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36005231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18002630 + 18002631.

It is an arithmetic number, because the mean of its divisors is an integer number (18002631).

Almost surely, 2^36005261 is an apocalyptic number.

It is an amenable number.

36005261 is a deficient number, since it is larger than the sum of its proper divisors (1).

36005261 is an equidigital number, since it uses as much as digits as its factorization.

36005261 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 23.

The square root of 36005261 is about 6000.4384006504. The cubic root of 36005261 is about 330.2088087720.

The spelling of 36005261 in words is "thirty-six million, five thousand, two hundred sixty-one".