29764 has 12 divisors (see below), whose sum is σ = 59584. Its totient is φ = 12744.

The previous prime is 29761. The next prime is 29789. The reversal of 29764 is 46792.

29764 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1063 = 29764 / (2 + 9 + 7 + 6 + 4).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (29761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504 + ... + 559.

2²⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

29764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29792).

29764 is a wasteful number, since it uses less digits than its factorization.

29764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 29764 is about 172.5224623056. The cubic root of 29764 is about 30.9906319248.

Adding to 29764 its sum of digits (28), we get a palindrome (29792).

It can be divided in two parts, 297 and 64, that added together give a square (361 = 19²).

The spelling of 29764 in words is "twenty-nine thousand, seven hundred sixty-four".