347964 has 24 divisors (see below), whose sum is σ = 822528. Its totient is φ = 114480.

The previous prime is 347959. The next prime is 347969. The reversal of 347964 is 469743.

347964 = T₂₁ + T₂₂ + ... + T₁₂₇.

It is an interprime number because it is at equal distance from previous prime (347959) and next prime (347969).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347964.

It is not an unprimeable number, because it can be changed into a prime (347969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2³⁴⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

347964 is an abundant number, since it is smaller than the sum of its proper divisors (474564).

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

347964 is a wasteful number, since it uses less digits than its factorization.

347964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 347964 is about 589.8847345033. The cubic root of 347964 is about 70.3360710109.

The spelling of 347964 in words is "three hundred forty-seven thousand, nine hundred sixty-four".