182828281 has 16 divisors (see below), whose sum is σ = 189575568. Its totient is φ = 176256000.

The previous prime is 182828263. The next prime is 182828287.

182828281 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 173056 + 182655225 = 416^2 + 13515^2 .

It is a cyclic number.

It is not a de Polignac number, because 182828281 - 2⁵ = 182828249 is a prime.

It is a super-3 number, since 3×182828281³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (182828287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010011 + ... + 1010191.

It is an arithmetic number, because the mean of its divisors is an integer number (11848473).

Almost surely, 2^182828281 is an apocalyptic number.

It is an amenable number.

182828281 is a deficient number, since it is larger than the sum of its proper divisors (6747287).

182828281 is a wasteful number, since it uses less digits than its factorization.

182828281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492.

The product of its digits is 32768, while the sum is 40.

The square root of 182828281 is about 13521.4008519828. The cubic root of 182828281 is about 567.5635005631.

The spelling of 182828281 in words is "one hundred eighty-two million, eight hundred twenty-eight thousand, two hundred eighty-one".