82127332 has 36 divisors (see below), whose sum is σ = 168026880. Its totient is φ = 35020944.

The previous prime is 82127293. The next prime is 82127341. The reversal of 82127332 is 23372128.

It is a super-2 number, since 2×82127332² = 13489797322876448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 82127332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42769 + ... + 44647.

Almost surely, 2^82127332 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 82127332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84013440).

82127332 is an abundant number, since it is smaller than the sum of its proper divisors (85899548).

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

82127332 is a wasteful number, since it uses less digits than its factorization.

82127332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 82127332 is about 9062.4131444114. The cubic root of 82127332 is about 434.6729068801.

The spelling of 82127332 in words is "eighty-two million, one hundred twenty-seven thousand, three hundred thirty-two".