82833408 has 208 divisors, whose sum is σ = 283080960. Its totient is φ = 23445504.

The previous prime is 82833403. The next prime is 82833427. The reversal of 82833408 is 80433828.

It is a happy number.

It is a super-2 number, since 2×82833408² = 13722746961788928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82833403) 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, 774091 + ... + 774197.

Almost surely, 2^82833408 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 82833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

82833408 is an abundant number, since it is smaller than the sum of its proper divisors (200247552).

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

82833408 is a wasteful number, since it uses less digits than its factorization.

82833408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82833408 is about 9101.2860629693. The cubic root of 82833408 is about 435.9150298743.

The spelling of 82833408 in words is "eighty-two million, eight hundred thirty-three thousand, four hundred eight".