65056761 has 36 divisors (see below), whose sum is σ = 119259504. Its totient is φ = 33793200.

The previous prime is 65056753. The next prime is 65056769. The reversal of 65056761 is 16765056.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65056753) and next prime (65056769).

It is not a de Polignac number, because 65056761 - 2³ = 65056753 is a prime.

It is a super-3 number, since 3×65056761³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (65056769) 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 35 ways as a sum of consecutive naturals, for example, 1855 + ... + 11556.

It is an arithmetic number, because the mean of its divisors is an integer number (3312764).

Almost surely, 2^65056761 is an apocalyptic number.

It is an amenable number.

65056761 is a deficient number, since it is larger than the sum of its proper divisors (54202743).

65056761 is a wasteful number, since it uses less digits than its factorization.

65056761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13432 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 65056761 is about 8065.7771479257. Note that the first 3 decimals coincide. The cubic root of 65056761 is about 402.1895779185.

The spelling of 65056761 in words is "sixty-five million, fifty-six thousand, seven hundred sixty-one".