82054665 has 144 divisors (see below), whose sum is σ = 192067200. Its totient is φ = 31933440.

The previous prime is 82054657. The next prime is 82054667. The reversal of 82054665 is 56645028.

It is not a de Polignac number, because 82054665 - 2³ = 82054657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82054667) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 412236 + ... + 412434.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^82054665 is an apocalyptic number.

82054665 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82054665 is an abundant number, since it is smaller than the sum of its proper divisors (110012535).

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

82054665 is a wasteful number, since it uses less digits than its factorization.

82054665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 82054665 is about 9058.4030049452. The cubic root of 82054665 is about 434.5446682215.

The spelling of 82054665 in words is "eighty-two million, fifty-four thousand, six hundred sixty-five".