82751136 has 96 divisors (see below), whose sum is σ = 237984768. Its totient is φ = 25021440.

The previous prime is 82751131. The next prime is 82751147. The reversal of 82751136 is 63115728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 82751097 and 82751106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82751131) 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, 75585 + ... + 76671.

It is an arithmetic number, because the mean of its divisors is an integer number (2479008).

Almost surely, 2^82751136 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 82751136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118992384).

82751136 is an abundant number, since it is smaller than the sum of its proper divisors (155233632).

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

82751136 is a wasteful number, since it uses less digits than its factorization.

82751136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 82751136 is about 9096.7651393229. The cubic root of 82751136 is about 435.7706618700.

The spelling of 82751136 in words is "eighty-two million, seven hundred fifty-one thousand, one hundred thirty-six".