82816965 has 128 divisors (see below), whose sum is σ = 190218240. Its totient is φ = 33177600.

The previous prime is 82816957. The next prime is 82817017. The reversal of 82816965 is 56961828.

It is not a de Polignac number, because 82816965 - 2³ = 82816957 is a prime.

It is a super-5 number, since 5×82816965⁵ (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

Its product of digits (207360) is a multiple of the sum of its prime factors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 82816965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322117 + ... + 322373.

It is an arithmetic number, because the mean of its divisors is an integer number (1486080).

Almost surely, 2^82816965 is an apocalyptic number.

It is an amenable number.

82816965 is an abundant number, since it is smaller than the sum of its proper divisors (107401275).

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

82816965 is a wasteful number, since it uses less digits than its factorization.

82816965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82816965 is about 9100.3826842611. The cubic root of 82816965 is about 435.8861839238.

The spelling of 82816965 in words is "eighty-two million, eight hundred sixteen thousand, nine hundred sixty-five".