36301 has 4 divisors (see below), whose sum is σ = 37504. Its totient is φ = 35100.

The previous prime is 36299. The next prime is 36307. The reversal of 36301 is 10363.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10363 = 43 ⋅241.

It is a cyclic number.

It is not a de Polignac number, because 36301 - 2¹ = 36299 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (9376).

2³⁶³⁰¹ is an apocalyptic number.

36301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

36301 is the 121-st centered pentagonal number.

It is an amenable number.

36301 is a deficient number, since it is larger than the sum of its proper divisors (1203).

36301 is a wasteful number, since it uses less digits than its factorization.

36301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 36301 is about 190.5282131339. The cubic root of 36301 is about 33.1110431294. Note that the first 3 decimals are identical.

Adding to 36301 its reverse (10363), we get a palindrome (46664).

The spelling of 36301 in words is "thirty-six thousand, three hundred one".