81828259 has 16 divisors (see below), whose sum is σ = 88252416. Its totient is φ = 75600000.

The previous prime is 81828223. The next prime is 81828277. The reversal of 81828259 is 95282818.

It is a cyclic number.

It is not a de Polignac number, because 81828259 - 2¹⁵ = 81795491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81828059) 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, 325884 + ... + 326134.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2^81828259 is an apocalyptic number.

81828259 is a deficient number, since it is larger than the sum of its proper divisors (6424157).

81828259 is a wasteful number, since it uses less digits than its factorization.

81828259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546.

The product of its digits is 92160, while the sum is 43.

The square root of 81828259 is about 9045.8973573659. The cubic root of 81828259 is about 434.1446334966.

The spelling of 81828259 in words is "eighty-one million, eight hundred twenty-eight thousand, two hundred fifty-nine".