36884 has 6 divisors (see below), whose sum is σ = 64554. Its totient is φ = 18440.

The previous prime is 36877. The next prime is 36887. The reversal of 36884 is 48863.

36884 = T₉₂ + T₉₃ + ... + T₉₉.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 784 = 190^2 + 28^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36884.

It is not an unprimeable number, because it can be changed into a prime (36887) by changing a digit.

36884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4607 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (10759).

2³⁶⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

36884 is a deficient number, since it is larger than the sum of its proper divisors (27670).

36884 is a wasteful number, since it uses less digits than its factorization.

36884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9225 (or 9223 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 36884 is about 192.0520762710. The cubic root of 36884 is about 33.2873588418.

The spelling of 36884 in words is "thirty-six thousand, eight hundred eighty-four".