36049 has 8 divisors (see below), whose sum is σ = 40320. Its totient is φ = 32016.

The previous prime is 36037. The next prime is 36061. The reversal of 36049 is 94063.

36049 = T₂₂ + T₂₃ + ... + T₆₀.

It is an interprime number because it is at equal distance from previous prime (36037) and next prime (36061).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36049 - 2⁵ = 36017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2³⁶⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

36049 is a deficient number, since it is larger than the sum of its proper divisors (4271).

36049 is a wasteful number, since it uses less digits than its factorization.

36049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36049 is about 189.8657420389. The cubic root of 36049 is about 33.0342466634.

The spelling of 36049 in words is "thirty-six thousand, forty-nine".