10001761 has 8 divisors (see below), whose sum is σ = 12469824. Its totient is φ = 7793520.

The previous prime is 10001759. The next prime is 10001777. The reversal of 10001761 is 16710001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001761 - 2¹ = 10001759 is a prime.

It is a super-2 number, since 2×10001761² = 200070446202242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001701) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 64870 + ... + 65023.

It is an arithmetic number, because the mean of its divisors is an integer number (1558728).

Almost surely, 2^10001761 is an apocalyptic number.

10001761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001761 is a deficient number, since it is larger than the sum of its proper divisors (2468063).

10001761 is a wasteful number, since it uses less digits than its factorization.

10001761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129911.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 10001761 is about 3162.5560864592. The cubic root of 10001761 is about 215.4561147925.

Adding to 10001761 its reverse (16710001), we get a palindrome (26711762).

The spelling of 10001761 in words is "ten million, one thousand, seven hundred sixty-one".