363987 has 32 divisors (see below), whose sum is σ = 624960. Its totient is φ = 207360.

The previous prime is 363977. The next prime is 363989. The reversal of 363987 is 789363.

It is not a de Polignac number, because 363987 - 2⁸ = 363731 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363987.

It is not an unprimeable number, because it can be changed into a prime (363989) 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 31 ways as a sum of consecutive naturals, for example, 5937 + ... + 5997.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁶³⁹⁸⁷ is an apocalyptic number.

363987 is a deficient number, since it is larger than the sum of its proper divisors (260973).

363987 is a wasteful number, since it uses less digits than its factorization.

363987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 363987 is about 603.3133514186. The cubic root of 363987 is about 71.3995198047.

It can be divided in two parts, 363 and 987, that multiplied together give a triangular number (358281 = T₈₄₆).

The spelling of 363987 in words is "three hundred sixty-three thousand, nine hundred eighty-seven".