82052919 has 40 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 48734784.

The previous prime is 82052917. The next prime is 82052921. The reversal of 82052919 is 91925028.

It is an interprime number because it is at equal distance from previous prime (82052917) and next prime (82052921).

It is not a de Polignac number, because 82052919 - 2¹ = 82052917 is a prime.

It is a super-2 number, since 2×82052919² = 13465363032841122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82052917) 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 39 ways as a sum of consecutive naturals, for example, 29194 + ... + 31880.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^82052919 is an apocalyptic number.

82052919 is a deficient number, since it is larger than the sum of its proper divisors (54551241).

82052919 is a wasteful number, since it uses less digits than its factorization.

82052919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 82052919 is about 9058.3066298288. The cubic root of 82052919 is about 434.5415860470.

The spelling of 82052919 in words is "eighty-two million, fifty-two thousand, nine hundred nineteen".