36749 has 2 divisors, whose sum is σ = 36750. Its totient is φ = 36748.

The previous prime is 36739. The next prime is 36761. The reversal of 36749 is 94763.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 12100 = 157^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 36749 - 2⁸ = 36493 is a prime.

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

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18374 + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2³⁶⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

36749 is a deficient number, since it is larger than the sum of its proper divisors (1).

36749 is an equidigital number, since it uses as much as digits as its factorization.

36749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 29.

The square root of 36749 is about 191.7002869064. The cubic root of 36749 is about 33.2466972429.

The spelling of 36749 in words is "thirty-six thousand, seven hundred forty-nine".