39764 has 6 divisors (see below), whose sum is σ = 69594. Its totient is φ = 19880.

The previous prime is 39761. The next prime is 39769. The reversal of 39764 is 46793.

39764 = T₁₃₉ + T₁₄₀ + ... + T₁₄₂.

39764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 19600 = 142^2 + 140^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4967 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (11599).

2³⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

39764 is a deficient number, since it is larger than the sum of its proper divisors (29830).

39764 is a wasteful number, since it uses less digits than its factorization.

39764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9943 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 39764 is about 199.4091271733. The cubic root of 39764 is about 34.1321271682.

Adding to 39764 its sum of digits (29), we get a palindrome (39793).

It can be divided in two parts, 3 and 9764, that multiplied together give a palindrome (29292).

The spelling of 39764 in words is "thirty-nine thousand, seven hundred sixty-four".