36882001 has 8 divisors (see below), whose sum is σ = 40688424. Its totient is φ = 33214080.

The previous prime is 36881987. The next prime is 36882017. The reversal of 36882001 is 10028863.

It can be written as a sum of positive squares in 4 ways, for example, as 641601 + 36240400 = 801^2 + 6020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36882001 - 2¹⁷ = 36750929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36882071) 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 7 ways as a sum of consecutive naturals, for example, 34066 + ... + 35131.

It is an arithmetic number, because the mean of its divisors is an integer number (5086053).

Almost surely, 2^36882001 is an apocalyptic number.

It is an amenable number.

36882001 is a deficient number, since it is larger than the sum of its proper divisors (3806423).

36882001 is a wasteful number, since it uses less digits than its factorization.

36882001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69251.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 36882001 is about 6073.0553266046. The cubic root of 36882001 is about 332.8675747321.

It can be divided in two parts, 368 and 82001, that added together give a square (82369 = 287²).

The spelling of 36882001 in words is "thirty-six million, eight hundred eighty-two thousand, one".