10040761 has 8 divisors (see below), whose sum is σ = 10742760. Its totient is φ = 9351168.

The previous prime is 10040741. The next prime is 10040791. The reversal of 10040761 is 16704001.

10040761 = 124² + 125² + ... + 317².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 8732025 = 1144^2 + 2955^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10040761 - 2⁷ = 10040633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10040731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1396 + ... + 4693.

It is an arithmetic number, because the mean of its divisors is an integer number (1342845).

Almost surely, 2^10040761 is an apocalyptic number.

It is an amenable number.

10040761 is a deficient number, since it is larger than the sum of its proper divisors (701999).

10040761 is an equidigital number, since it uses as much as digits as its factorization.

10040761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203.

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

The square root of 10040761 is about 3168.7159860107. The cubic root of 10040761 is about 215.7357952199.

Adding to 10040761 its reverse (16704001), we get a palindrome (26744762).

It can be divided in two parts, 10040 and 761, that added together give a palindrome (10801).

The spelling of 10040761 in words is "ten million, forty thousand, seven hundred sixty-one".