36002052 has 36 divisors (see below), whose sum is σ = 92727180. Its totient is φ = 11773632.

The previous prime is 36002033. The next prime is 36002053. The reversal of 36002052 is 25020063.

It can be written as a sum of positive squares in 2 ways, for example, as 31741956 + 4260096 = 5634^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×36002052² = 2592295496421408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36002053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7527 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (2575755).

Almost surely, 2^36002052 is an apocalyptic number.

It is an amenable number.

36002052 is an abundant number, since it is smaller than the sum of its proper divisors (56725128).

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

36002052 is a wasteful number, since it uses less digits than its factorization.

36002052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18932 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36002052 is about 6000.1709975633. The cubic root of 36002052 is about 330.1989984320.

The spelling of 36002052 in words is "thirty-six million, two thousand, fifty-two", and thus it is an eban number.