367983 has 40 divisors (see below), whose sum is σ = 696960. Its totient is φ = 187920.

The previous prime is 367957. The next prime is 368021. The reversal of 367983 is 389763.

It is not a de Polignac number, because 367983 - 2¹² = 363887 is a prime.

It is a super-2 number, since 2×367983² = 270822976578, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6208 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (17424).

2³⁶⁷⁹⁸³ is an apocalyptic number.

367983 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

367983 is a deficient number, since it is larger than the sum of its proper divisors (328977).

367983 is a wasteful number, since it uses less digits than its factorization.

367983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

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

The square root of 367983 is about 606.6160235272. The cubic root of 367983 is about 71.6598539284.

The spelling of 367983 in words is "three hundred sixty-seven thousand, nine hundred eighty-three".