82603136 has 192 divisors, whose sum is σ = 225460800. Its totient is φ = 29245440.

The previous prime is 82603133. The next prime is 82603159. The reversal of 82603136 is 63130628.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 82603099 and 82603108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82603133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848370 + ... + 2848398.

It is an arithmetic number, because the mean of its divisors is an integer number (1174275).

Almost surely, 2^82603136 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 82603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112730400).

82603136 is an abundant number, since it is smaller than the sum of its proper divisors (142857664).

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

82603136 is a wasteful number, since it uses less digits than its factorization.

82603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 82603136 is about 9088.6267389524. The cubic root of 82603136 is about 435.5107156085.

The spelling of 82603136 in words is "eighty-two million, six hundred three thousand, one hundred thirty-six".