82351 has 2 divisors, whose sum is σ = 82352. Its totient is φ = 82350.

The previous prime is 82349. The next prime is 82361. The reversal of 82351 is 15328.

It is a happy number.

82351 is nontrivially palindromic in base 11.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82351 - 2¹ = 82349 is a prime.

Together with 82349, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41175 + 41176.

It is an arithmetic number, because the mean of its divisors is an integer number (41176).

2⁸²³⁵¹ is an apocalyptic number.

82351 is a deficient number, since it is larger than the sum of its proper divisors (1).

82351 is an equidigital number, since it uses as much as digits as its factorization.

82351 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 82351 is about 286.9686394016. The cubic root of 82351 is about 43.5067149540.

Adding to 82351 its reverse (15328), we get a palindrome (97679).

It can be divided in two parts, 82 and 351, that multiplied together give a palindrome (28782).

The spelling of 82351 in words is "eighty-two thousand, three hundred fifty-one".