82002264 has 16 divisors (see below), whose sum is σ = 205005720. Its totient is φ = 27334080.

The previous prime is 82002251. The next prime is 82002293. The reversal of 82002264 is 46220028.

It is a super-2 number, since 2×82002264² = 13448742602251392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3416761 = 82002264 / (8 + 2 + 0 + 0 + 2 + 2 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1708357 + ... + 1708404.

Almost surely, 2^82002264 is an apocalyptic number.

It is an amenable number.

82002264 is an abundant number, since it is smaller than the sum of its proper divisors (123003456).

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

82002264 is a wasteful number, since it uses less digits than its factorization.

82002264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416770 (or 3416766 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82002264 is about 9055.5101457621. The cubic root of 82002264 is about 434.4521468759.

The spelling of 82002264 in words is "eighty-two million, two thousand, two hundred sixty-four".