36741 has 8 divisors (see below), whose sum is σ = 50464. Its totient is φ = 23760.

The previous prime is 36739. The next prime is 36749. The reversal of 36741 is 14763.

36741 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

36741 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 36741 - 2¹ = 36739 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

36741 is a lucky number.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (6308).

2³⁶⁷⁴¹ is an apocalyptic number.

36741 is the 111-st octagonal number.

It is an amenable number.

36741 is a deficient number, since it is larger than the sum of its proper divisors (13723).

36741 is a wasteful number, since it uses less digits than its factorization.

36741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its digits is 504, while the sum is 21.

The square root of 36741 is about 191.6794198656. The cubic root of 36741 is about 33.2442845435.

It can be divided in two parts, 36 and 741, that added together give a palindrome (777).

The spelling of 36741 in words is "thirty-six thousand, seven hundred forty-one".