65828763 has 48 divisors (see below), whose sum is σ = 127685376. Its totient is φ = 31561920.

The previous prime is 65828731. The next prime is 65828771. The reversal of 65828763 is 36782856.

65828763 is a `hidden beast` number, since 6 + 582 + 8 + 7 + 63 = 666.

It is not a de Polignac number, because 65828763 - 2⁵ = 65828731 is a prime.

It is a super-2 number, since 2×65828763² = 8666852076220338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65828713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356 + ... + 12662.

It is an arithmetic number, because the mean of its divisors is an integer number (2660112).

Almost surely, 2^65828763 is an apocalyptic number.

65828763 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

65828763 is a deficient number, since it is larger than the sum of its proper divisors (61856613).

65828763 is a wasteful number, since it uses less digits than its factorization.

65828763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7341 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 65828763 is about 8113.4926511337. The cubic root of 65828763 is about 403.7741994588.

It can be divided in two parts, 65 and 828763, that added together give a palindrome (828828).

The spelling of 65828763 in words is "sixty-five million, eight hundred twenty-eight thousand, seven hundred sixty-three".