36945 has 12 divisors (see below), whose sum is σ = 64116. Its totient is φ = 19680.

The previous prime is 36943. The next prime is 36947. The reversal of 36945 is 54963.

It is a happy number.

36945 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (36943) and next prime (36947).

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 25281 = 108^2 + 159^2 .

It is not a de Polignac number, because 36945 - 2¹ = 36943 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (36943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (5343).

2³⁶⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

36945 is a deficient number, since it is larger than the sum of its proper divisors (27171).

36945 is a wasteful number, since it uses less digits than its factorization.

36945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 36945 is about 192.2108217557. The cubic root of 36945 is about 33.3056993194.

It can be divided in two parts, 369 and 45, that added together give a palindrome (414).

The spelling of 36945 in words is "thirty-six thousand, nine hundred forty-five".