302964 has 12 divisors (see below), whose sum is σ = 706944. Its totient is φ = 100984.

The previous prime is 302959. The next prime is 302969. The reversal of 302964 is 469203.

302964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (302959) and next prime (302969).

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 3⁸ + 0 + 9² + 2 + 6⁷ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302969) by changing a digit.

302964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12612 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (58912).

2³⁰²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

302964 is an abundant number, since it is smaller than the sum of its proper divisors (403980).

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

302964 is a wasteful number, since it uses less digits than its factorization.

302964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25254 (or 25252 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 302964 is about 550.4216565507. The cubic root of 302964 is about 67.1630394824.

The spelling of 302964 in words is "three hundred two thousand, nine hundred sixty-four".