82181407 has 16 divisors (see below), whose sum is σ = 103525632. Its totient is φ = 63371520.

The previous prime is 82181381. The next prime is 82181413. The reversal of 82181407 is 70418128.

It is a cyclic number.

It is not a de Polignac number, because 82181407 - 2¹⁹ = 81657119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82181467) 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, 1968 + ... + 12970.

It is an arithmetic number, because the mean of its divisors is an integer number (6470352).

Almost surely, 2^82181407 is an apocalyptic number.

82181407 is a deficient number, since it is larger than the sum of its proper divisors (21344225).

82181407 is a wasteful number, since it uses less digits than its factorization.

82181407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118.

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 82181407 is about 9065.3961303409. The cubic root of 82181407 is about 434.7682863353.

It can be divided in two parts, 821 and 81407, that added together give a palindrome (82228).

The spelling of 82181407 in words is "eighty-two million, one hundred eighty-one thousand, four hundred seven".