82429116 has 48 divisors (see below), whose sum is σ = 239796480. Its totient is φ = 21409920.

The previous prime is 82429111. The next prime is 82429121. The reversal of 82429116 is 61192428.

It is an interprime number because it is at equal distance from previous prime (82429111) and next prime (82429121).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82429111) 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, 43681 + ... + 45528.

It is an arithmetic number, because the mean of its divisors is an integer number (4995760).

Almost surely, 2^82429116 is an apocalyptic number.

It is an amenable number.

82429116 is an abundant number, since it is smaller than the sum of its proper divisors (157367364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82429116 is a wasteful number, since it uses less digits than its factorization.

82429116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89234 (or 89232 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 82429116 is about 9079.0481879986. The cubic root of 82429116 is about 435.2046704980.

The spelling of 82429116 in words is "eighty-two million, four hundred twenty-nine thousand, one hundred sixteen".