34364 has 18 divisors (see below), whose sum is σ = 67032. Its totient is φ = 15400.

The previous prime is 34361. The next prime is 34367. The reversal of 34364 is 46343.

34364 = 62² + 63² + ... + 69².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34361) and next prime (34367).

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 34364.

It is not an unprimeable number, because it can be changed into a prime (34361) 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 5 ways as a sum of consecutive naturals, for example, 449 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2³⁴³⁶⁴ is an apocalyptic number.

It is an amenable number.

34364 is a deficient number, since it is larger than the sum of its proper divisors (32668).

34364 is a wasteful number, since it uses less digits than its factorization.

34364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 34364 is about 185.3752950099. The cubic root of 34364 is about 32.5113175574.

It can be divided in two parts, 343 and 64, that multiplied together give a cube (21952 = 28³).

The spelling of 34364 in words is "thirty-four thousand, three hundred sixty-four".