36833 has 2 divisors, whose sum is σ = 36834. Its totient is φ = 36832.

The previous prime is 36821. The next prime is 36847. The reversal of 36833 is 33863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 16384 = 143^2 + 128^2 .

It is an emirp because it is prime and its reverse (33863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36833 - 2¹⁰ = 35809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36799 and 36808.

It is not a weakly prime, because it can be changed into another prime (36433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18416 + 18417.

It is an arithmetic number, because the mean of its divisors is an integer number (18417).

2³⁶⁸³³ is an apocalyptic number.

It is an amenable number.

36833 is a deficient number, since it is larger than the sum of its proper divisors (1).

36833 is an equidigital number, since it uses as much as digits as its factorization.

36833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

The square root of 36833 is about 191.9192538543. The cubic root of 36833 is about 33.2720094729.

Adding to 36833 its sum of digits (23), we get a triangular number (36856 = T₂₇₁).

The spelling of 36833 in words is "thirty-six thousand, eight hundred thirty-three".