10001764 has 6 divisors (see below), whose sum is σ = 17503094. Its totient is φ = 5000880.

The previous prime is 10001759. The next prime is 10001777. The reversal of 10001764 is 46710001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9872164 + 129600 = 3142^2 + 360^2 .

It is a super-2 number, since 2×10001764² = 200070566223392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250217 + ... + 1250224.

Almost surely, 2^10001764 is an apocalyptic number.

It is an amenable number.

10001764 is a deficient number, since it is larger than the sum of its proper divisors (7501330).

10001764 is a wasteful number, since it uses less digits than its factorization.

10001764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500445 (or 2500443 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10001764 is about 3162.5565607590. The cubic root of 10001764 is about 215.4561363344.

Adding to 10001764 its reverse (46710001), we get a palindrome (56711765).

The spelling of 10001764 in words is "ten million, one thousand, seven hundred sixty-four".