10005764 has 24 divisors (see below), whose sum is σ = 18045720. Its totient is φ = 4852224.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005764 is 46750001.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 8584900 = 1192^2 + 2930^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22892 + ... + 23324.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 2^10005764 is an apocalyptic number.

It is an amenable number.

10005764 is a deficient number, since it is larger than the sum of its proper divisors (8039956).

10005764 is a wasteful number, since it uses less digits than its factorization.

10005764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10005764 is about 3163.1888972997. The cubic root of 10005764 is about 215.4848549244.

Adding to 10005764 its reverse (46750001), we get a palindrome (56755765).

The spelling of 10005764 in words is "ten million, five thousand, seven hundred sixty-four".