36251 has 2 divisors, whose sum is σ = 36252. Its totient is φ = 36250.

The previous prime is 36241. The next prime is 36263. The reversal of 36251 is 15263.

It is a weak prime.

It is an emirp because it is prime and its reverse (15263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36251 - 2⁶ = 36187 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36251.

It is not a weakly prime, because it can be changed into another prime (36241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18125 + 18126.

It is an arithmetic number, because the mean of its divisors is an integer number (18126).

2³⁶²⁵¹ is an apocalyptic number.

36251 is a deficient number, since it is larger than the sum of its proper divisors (1).

36251 is an equidigital number, since it uses as much as digits as its factorization.

36251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 17.

The square root of 36251 is about 190.3969537571. The cubic root of 36251 is about 33.0958340640.

The spelling of 36251 in words is "thirty-six thousand, two hundred fifty-one".