359967 has 8 divisors (see below), whose sum is σ = 485296. Its totient is φ = 237312.

The previous prime is 359929. The next prime is 359981. The reversal of 359967 is 769953.

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

It is not a de Polignac number, because 359967 - 2¹⁴ = 343583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359987) 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 7 ways as a sum of consecutive naturals, for example, 328 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (60662).

2³⁵⁹⁹⁶⁷ is an apocalyptic number.

359967 is a deficient number, since it is larger than the sum of its proper divisors (125329).

359967 is a wasteful number, since it uses less digits than its factorization.

359967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its digits is 51030, while the sum is 39.

The square root of 359967 is about 599.9724993698. The cubic root of 359967 is about 71.1356923664.

It can be divided in two parts, 359 and 967, that added together give a triangular number (1326 = T₅₁).

The spelling of 359967 in words is "three hundred fifty-nine thousand, nine hundred sixty-seven".