82306002 has 32 divisors (see below), whose sum is σ = 171216000. Its totient is φ = 26345088.

The previous prime is 82306001. The next prime is 82306013. The reversal of 82306002 is 20060328.

It is a self number, because there is not a number n which added to its sum of digits gives 82306002.

It is not an unprimeable number, because it can be changed into a prime (82306001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33438 + ... + 35814.

It is an arithmetic number, because the mean of its divisors is an integer number (5350500).

Almost surely, 2^82306002 is an apocalyptic number.

82306002 is an abundant number, since it is smaller than the sum of its proper divisors (88909998).

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

82306002 is a wasteful number, since it uses less digits than its factorization.

82306002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 82306002 is about 9072.2655384419. The cubic root of 82306002 is about 434.9878923833.

The spelling of 82306002 in words is "eighty-two million, three hundred six thousand, two".