82281627 has 12 divisors (see below), whose sum is σ = 119008344. Its totient is φ = 54781920.

The previous prime is 82281601. The next prime is 82281677. The reversal of 82281627 is 72618228.

It is a happy number.

82281627 is a `hidden beast` number, since 8 + 2 + 28 + 1 + 627 = 666.

It is not a de Polignac number, because 82281627 - 2⁷ = 82281499 is a prime.

It is a super-2 number, since 2×82281627² = 13540532283534258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82281591 and 82281600.

It is not an unprimeable number, because it can be changed into a prime (82281677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1663 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (9917362).

Almost surely, 2^82281627 is an apocalyptic number.

82281627 is a deficient number, since it is larger than the sum of its proper divisors (36726717).

82281627 is a wasteful number, since it uses less digits than its factorization.

82281627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12090 (or 12087 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82281627 is about 9070.9220589750. The cubic root of 82281627 is about 434.9449474523.

The spelling of 82281627 in words is "eighty-two million, two hundred eighty-one thousand, six hundred twenty-seven".