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3367 = 71337

3367 has 8 divisors (see below), whose sum is σ = 4256. Its totient is φ = 2592.

The previous prime is 3361. The next prime is 3371. The reversal of 3367 is 7633.

It is a happy number.

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

It is a 5-Lehmer number, since φ(3367) divides (3367-1)5.

It is a cyclic number.

It is not a de Polignac number, because 3367 - 23 = 3359 is a prime.

It is a super-2 number, since 2×33672 = 22673378, which contains 22 as substring.

It is a deceptive number, since it divides R3366.

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

23367 is an apocalyptic number.

3367 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3367 is the 37-th heptagonal number.

3367 is the 34-th hex number.

3367 is a deficient number, since it is larger than the sum of its proper divisors (889).

3367 is a wasteful number, since it uses less digits than its factorization.

3367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57.

The product of its digits is 378, while the sum is 19.

The square root of 3367 is about 58.0258563056. The cubic root of 3367 is about 14.9881387714.

It can be divided in two parts, 336 and 7, that added together give a palindrome (343).

The spelling of 3367 in words is "three thousand, three hundred sixty-seven".

Divisors: 1 7 13 37 91 259 481 3367