82127331 has 64 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 45239040.

The previous prime is 82127293. The next prime is 82127341. The reversal of 82127331 is 13372128.

It is not a de Polignac number, because 82127331 - 2⁹ = 82126819 is a prime.

It is a super-2 number, since 2×82127331² = 13489796994367122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82127295 and 82127304.

It is not an unprimeable number, because it can be changed into a prime (82127341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343510 + ... + 343748.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^82127331 is an apocalyptic number.

82127331 is a deficient number, since it is larger than the sum of its proper divisors (63024669).

82127331 is a wasteful number, since it uses less digits than its factorization.

82127331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 82127331 is about 9062.4130892384. The cubic root of 82127331 is about 434.6729051159.

Adding to 82127331 its reverse (13372128), we get a palindrome (95499459).

The spelling of 82127331 in words is "eighty-two million, one hundred twenty-seven thousand, three hundred thirty-one".