36001035 has 72 divisors (see below), whose sum is σ = 75226320. Its totient is φ = 15861888.

The previous prime is 36000989. The next prime is 36001039. The reversal of 36001035 is 53010063.

It is not a de Polignac number, because 36001035 - 2⁶ = 36000971 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36000999 and 36001017.

It is not an unprimeable number, because it can be changed into a prime (36001039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63664 + ... + 64226.

It is an arithmetic number, because the mean of its divisors is an integer number (1044810).

Almost surely, 2^36001035 is an apocalyptic number.

36001035 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36001035 is an abundant number, since it is smaller than the sum of its proper divisors (39225285).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36001035 is a wasteful number, since it uses less digits than its factorization.

36001035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 36001035 is about 6000.0862493801. The cubic root of 36001035 is about 330.1958892061.

Adding to 36001035 its reverse (53010063), we get a palindrome (89011098).

Subtracting 36001035 from its reverse (53010063), we obtain a triangular number (17009028 = T₅₈₃₂).

The spelling of 36001035 in words is "thirty-six million, one thousand, thirty-five".