361599 has 16 divisors (see below), whose sum is σ = 561408. Its totient is φ = 202752.

The previous prime is 361577. The next prime is 361637. The reversal of 361599 is 995163.

It is not a de Polignac number, because 361599 - 2¹² = 357503 is a prime.

361599 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361599.

It is not an unprimeable number, because it can be changed into a prime (361549) 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, 1279 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (35088).

2³⁶¹⁵⁹⁹ is an apocalyptic number.

361599 is a deficient number, since it is larger than the sum of its proper divisors (199809).

361599 is a wasteful number, since it uses less digits than its factorization.

361599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its digits is 7290, while the sum is 33.

The square root of 361599 is about 601.3310236467. The cubic root of 361599 is about 71.2430340989.

The spelling of 361599 in words is "three hundred sixty-one thousand, five hundred ninety-nine".