8001761 has 4 divisors (see below), whose sum is σ = 8079552. Its totient is φ = 7923972.

The previous prime is 8001739. The next prime is 8001779. The reversal of 8001761 is 1671008.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8001761 - 2²² = 3807457 is a prime.

It is a super-2 number, since 2×8001761² = 128056358202242, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8001661) 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 3 ways as a sum of consecutive naturals, for example, 38741 + ... + 38946.

It is an arithmetic number, because the mean of its divisors is an integer number (2019888).

Almost surely, 2^8001761 is an apocalyptic number.

It is an amenable number.

8001761 is a deficient number, since it is larger than the sum of its proper divisors (77791).

8001761 is a wasteful number, since it uses less digits than its factorization.

8001761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77790.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 8001761 is about 2828.7384113771. The cubic root of 8001761 is about 200.0146739234.

Adding to 8001761 its reverse (1671008), we get a palindrome (9672769).

The spelling of 8001761 in words is "eight million, one thousand, seven hundred sixty-one".