82795572 has 36 divisors (see below), whose sum is σ = 209568996. Its totient is φ = 27561600.

The previous prime is 82795553. The next prime is 82795591. The reversal of 82795572 is 27559728.

It is a happy number.

82795572 is a `hidden beast` number, since 8 + 2 + 79 + 5 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (82795553) and next prime (82795591).

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 51926436 = 5556^2 + 7206^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×82795572³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45072 + ... + 46872.

It is an arithmetic number, because the mean of its divisors is an integer number (5821361).

Almost surely, 2^82795572 is an apocalyptic number.

It is an amenable number.

82795572 is an abundant number, since it is smaller than the sum of its proper divisors (126773424).

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

82795572 is a wasteful number, since it uses less digits than its factorization.

82795572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3083 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 82795572 is about 9099.2072182141. The cubic root of 82795572 is about 435.8486484736.

The spelling of 82795572 in words is "eighty-two million, seven hundred ninety-five thousand, five hundred seventy-two".