82456002 has 32 divisors (see below), whose sum is σ = 187709760. Its totient is φ = 26814240.

The previous prime is 82455979. The next prime is 82456009. The reversal of 82456002 is 20065428.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82456009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16408 + ... + 20835.

It is an arithmetic number, because the mean of its divisors is an integer number (5865930).

Almost surely, 2^82456002 is an apocalyptic number.

82456002 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82456002 is an abundant number, since it is smaller than the sum of its proper divisors (105253758).

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

82456002 is a wasteful number, since it uses less digits than its factorization.

82456002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37295 (or 37289 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82456002 is about 9080.5287290994. The cubic root of 82456002 is about 435.2519824245.

The spelling of 82456002 in words is "eighty-two million, four hundred fifty-six thousand, two".