359667 has 32 divisors (see below), whose sum is σ = 668160. Its totient is φ = 185760.

The previous prime is 359663. The next prime is 359701. The reversal of 359667 is 766953.

It is a happy number.

359667 is a `hidden beast` number, since 3 + 596 + 67 = 666.

It is not a de Polignac number, because 359667 - 2² = 359663 is a prime.

359667 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359663) 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 31 ways as a sum of consecutive naturals, for example, 1993 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (20880).

2³⁵⁹⁶⁶⁷ is an apocalyptic number.

359667 is a deficient number, since it is larger than the sum of its proper divisors (308493).

359667 is a wasteful number, since it uses less digits than its factorization.

359667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 359667 is about 599.7224357984. The cubic root of 359667 is about 71.1159251479.

It can be divided in two parts, 3596 and 67, that added together give a palindrome (3663).

The spelling of 359667 in words is "three hundred fifty-nine thousand, six hundred sixty-seven".