36681085 has 32 divisors (see below), whose sum is σ = 52876800. Its totient is φ = 23896320.

The previous prime is 36681061. The next prime is 36681119. The reversal of 36681085 is 58018663.

It is not a de Polignac number, because 36681085 - 2¹⁹ = 36156797 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71811 + ... + 72319.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^36681085 is an apocalyptic number.

36681085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36681085 is a deficient number, since it is larger than the sum of its proper divisors (16195715).

36681085 is a wasteful number, since it uses less digits than its factorization.

36681085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 36681085 is about 6056.4911458699. The cubic root of 36681085 is about 332.2620378889.

It can be divided in two parts, 3668 and 1085, that added together give a triangular number (4753 = T₉₇).

The spelling of 36681085 in words is "thirty-six million, six hundred eighty-one thousand, eighty-five".