82371401 has 18 divisors (see below), whose sum is σ = 98030538. Its totient is φ = 69011040.

The previous prime is 82371391. The next prime is 82371407. The reversal of 82371401 is 10417328.

It can be written as a sum of positive squares in only one way, i.e., 43296400 + 39075001 = 6580^2 + 6251^2 .

It is not a de Polignac number, because 82371401 - 2¹⁴ = 82355017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82371407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 107861 + ... + 108621.

It is an arithmetic number, because the mean of its divisors is an integer number (5446141).

Almost surely, 2^82371401 is an apocalyptic number.

It is an amenable number.

82371401 is a deficient number, since it is larger than the sum of its proper divisors (15659137).

82371401 is an equidigital number, since it uses as much as digits as its factorization.

82371401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 82371401 is about 9075.8691594800. The cubic root of 82371401 is about 435.1030732980.

Adding to 82371401 its reverse (10417328), we get a palindrome (92788729).

The spelling of 82371401 in words is "eighty-two million, three hundred seventy-one thousand, four hundred one".