362988041 has 16 divisors (see below), whose sum is σ = 408436560. Its totient is φ = 320275200.

The previous prime is 362988023. The next prime is 362988053. The reversal of 362988041 is 140889263.

It can be written as a sum of positive squares in 8 ways, for example, as 1836025 + 361152016 = 1355^2 + 19004^2 .

It is a cyclic number.

It is not a de Polignac number, because 362988041 - 2²² = 358793737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 362988041.

It is not an unprimeable number, because it can be changed into a prime (362988011) 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 15 ways as a sum of consecutive naturals, for example, 33311 + ... + 42843.

It is an arithmetic number, because the mean of its divisors is an integer number (25527285).

Almost surely, 2^362988041 is an apocalyptic number.

It is an amenable number.

362988041 is a deficient number, since it is larger than the sum of its proper divisors (45448519).

362988041 is a wasteful number, since it uses less digits than its factorization.

362988041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676.

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 362988041 is about 19052.2450383150. The cubic root of 362988041 is about 713.3414151461.

The spelling of 362988041 in words is "three hundred sixty-two million, nine hundred eighty-eight thousand, forty-one".