65005766 has 32 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 26863200.

The previous prime is 65005757. The next prime is 65005769. The reversal of 65005766 is 66750056.

It is a super-2 number, since 2×65005766² = 8451499226493512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65005769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49316 + ... + 50616.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^65005766 is an apocalyptic number.

65005766 is a deficient number, since it is larger than the sum of its proper divisors (50486842).

65005766 is a wasteful number, since it uses less digits than its factorization.

65005766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 65005766 is about 8062.6153325084. The cubic root of 65005766 is about 402.0844644842.

The spelling of 65005766 in words is "sixty-five million, five thousand, seven hundred sixty-six".