39364 has 12 divisors (see below), whose sum is σ = 74284. Its totient is φ = 18144.

The previous prime is 39359. The next prime is 39367. The reversal of 39364 is 46393.

39364 = T₂₄ + T₂₅ + ... + T₆₂.

39364 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 24964 = 120^2 + 158^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39367) by changing a digit.

39364 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327 + ... + 430.

2³⁹³⁶⁴ is an apocalyptic number.

It is an amenable number.

39364 is a deficient number, since it is larger than the sum of its proper divisors (34920).

39364 is a wasteful number, since it uses less digits than its factorization.

39364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

The square root of 39364 is about 198.4036289991. The cubic root of 39364 is about 34.0172922418.

It can be divided in two parts, 393 and 64, that multiplied together give a palindrome (25152).

The spelling of 39364 in words is "thirty-nine thousand, three hundred sixty-four".