34964 has 6 divisors (see below), whose sum is σ = 61194. Its totient is φ = 17480.

The previous prime is 34963. The next prime is 34981. The reversal of 34964 is 46943.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 10000 = 158^2 + 100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34961) by changing a digit.

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 as a sum of consecutive naturals, namely, 4367 + ... + 4374.

It is an arithmetic number, because the mean of its divisors is an integer number (10199).

2³⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

34964 is a deficient number, since it is larger than the sum of its proper divisors (26230).

34964 is a wasteful number, since it uses less digits than its factorization.

34964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745 (or 8743 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 34964 is about 186.9866305381. The cubic root of 34964 is about 32.6994441700.

The spelling of 34964 in words is "thirty-four thousand, nine hundred sixty-four".