82287765 has 64 divisors (see below), whose sum is σ = 176025600. Its totient is φ = 35629632.

The previous prime is 82287757. The next prime is 82287773. The reversal of 82287765 is 56778228.

It is an interprime number because it is at equal distance from previous prime (82287757) and next prime (82287773).

It is not a de Polignac number, because 82287765 - 2³ = 82287757 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82287765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15664 + ... + 20246.

It is an arithmetic number, because the mean of its divisors is an integer number (2750400).

Almost surely, 2^82287765 is an apocalyptic number.

It is an amenable number.

82287765 is an abundant number, since it is smaller than the sum of its proper divisors (93737835).

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

82287765 is a wasteful number, since it uses less digits than its factorization.

82287765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4617 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 82287765 is about 9071.2603865174. The cubic root of 82287765 is about 434.9557624455.

The spelling of 82287765 in words is "eighty-two million, two hundred eighty-seven thousand, seven hundred sixty-five".