81829107 has 12 divisors (see below), whose sum is σ = 118336920. Its totient is φ = 54488448.

The previous prime is 81829087. The next prime is 81829159. The reversal of 81829107 is 70192818.

It is not a de Polignac number, because 81829107 - 2¹¹ = 81827059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81829207) 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, 3468 + ... + 13254.

It is an arithmetic number, because the mean of its divisors is an integer number (9861410).

Almost surely, 2^81829107 is an apocalyptic number.

81829107 is a deficient number, since it is larger than the sum of its proper divisors (36507813).

81829107 is a wasteful number, since it uses less digits than its factorization.

81829107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10722 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 81829107 is about 9045.9442293218. The cubic root of 81829107 is about 434.1461331960.

The spelling of 81829107 in words is "eighty-one million, eight hundred twenty-nine thousand, one hundred seven".