364 has 12 divisors (see below), whose sum is σ = 784. Its totient is φ = 144.

The previous prime is 359. The next prime is 367. The reversal of 364 is 463.

Subtracting from 364 its sum of digits (13), we obtain a triangular number (351 = T_{26}).

364 divided by its sum of digits (13) gives a triangular number (28 = T_{7}).

Subtracting from 364 its product of digits (72), we obtain a palindrome (292).

Subtracting 364 from its reverse (463), we obtain a palindrome (99).

It can be divided in two parts, 36 and 4, that multiplied together give a square (144 = 12^{2}).

364 = T_{1} + T_{2} + ... +
T_{12}.

364 is nontrivially palindromic in base 3 and base 9.

364 is a nontrivial binomial coefficient, being equal to C(14, 3).

364 is an admirable number.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

364 is a Gilda number.

It is a Harshad number since it is a multiple of its sum of digits (13).

364 is an undulating number in base 5.

Its product of digits (72) is a multiple of the sum of its prime factors (24).

364 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3, base 9 and base 16.

It is a nialpdrome in base 3, base 8, base 9 and base 13.

It is a zygodrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (367) by changing a digit.

It is the 12-th tetrahedral number.

It is a nontrivial repunit in base 3.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 34.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392).

364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

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

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

The sum of its prime factors is 24 (or 22 counting only the distinct ones).

The product of its digits is 72, while the sum is 13.

The square root of 364 is about 19.0787840283. The cubic root of 364 is about 7.1400369819.

The spelling of 364 in words is "three hundred sixty-four", and thus it is an aban number.

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