82773342 has 48 divisors (see below), whose sum is σ = 186928560. Its totient is φ = 26448000.

The previous prime is 82773331. The next prime is 82773349. The reversal of 82773342 is 24337728.

It is a super-2 number, since 2×82773342² = 13702852291697928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82773297 and 82773306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82773349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42592 + ... + 44492.

It is an arithmetic number, because the mean of its divisors is an integer number (3894345).

Almost surely, 2^82773342 is an apocalyptic number.

82773342 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82773342 is an abundant number, since it is smaller than the sum of its proper divisors (104155218).

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

82773342 is a wasteful number, since it uses less digits than its factorization.

82773342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2006 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 82773342 is about 9097.9856012196. The cubic root of 82773342 is about 435.8096376003.

The spelling of 82773342 in words is "eighty-two million, seven hundred seventy-three thousand, three hundred forty-two".