65105766 has 48 divisors (see below), whose sum is σ = 158865408. Its totient is φ = 19090800.

The previous prime is 65105759. The next prime is 65105773. The reversal of 65105766 is 66750156.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65105759) and next prime (65105773).

It is a self number, because there is not a number n which added to its sum of digits gives 65105766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835 + ... + 11441.

It is an arithmetic number, because the mean of its divisors is an integer number (3309696).

Almost surely, 2^65105766 is an apocalyptic number.

65105766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65105766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432704).

65105766 is an abundant number, since it is smaller than the sum of its proper divisors (93759642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65105766 is a wasteful number, since it uses less digits than its factorization.

65105766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10654 counting only the distinct ones).

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

The square root of 65105766 is about 8068.8144110520. The cubic root of 65105766 is about 402.2905377227.

The spelling of 65105766 in words is "sixty-five million, one hundred five thousand, seven hundred sixty-six".