82689192 has 48 divisors (see below), whose sum is σ = 225738240. Its totient is φ = 27343008.

The previous prime is 82689181. The next prime is 82689203. The reversal of 82689192 is 29198628.

It is an interprime number because it is at equal distance from previous prime (82689181) and next prime (82689203).

It is a super-2 number, since 2×82689192² = 13675004947225728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4623 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (4702880).

Almost surely, 2^82689192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82689192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112869120).

82689192 is an abundant number, since it is smaller than the sum of its proper divisors (143049048).

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

82689192 is a wasteful number, since it uses less digits than its factorization.

82689192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9175 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 82689192 is about 9093.3597751326. The cubic root of 82689192 is about 435.6619015663.

The spelling of 82689192 in words is "eighty-two million, six hundred eighty-nine thousand, one hundred ninety-two".