83215 has 16 divisors (see below), whose sum is σ = 116640. Its totient is φ = 56320.

The previous prime is 83207. The next prime is 83219. The reversal of 83215 is 51238.

83215 = 127² + 128² + ... + 131².

It is a happy number.

It is not a de Polignac number, because 83215 - 2³ = 83207 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83192 and 83201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83219) 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, 891 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

It is the magic constant of a 55 × 55 magic square.

2⁸³²¹⁵ is an apocalyptic number.

83215 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83215 is a deficient number, since it is larger than the sum of its proper divisors (33425).

83215 is a wasteful number, since it uses less digits than its factorization.

83215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

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

The square root of 83215 is about 288.4701024370. The cubic root of 83215 is about 43.6583387054.

It can be divided in two parts, 8 and 3215, that added together give a palindrome (3223).

The spelling of 83215 in words is "eighty-three thousand, two hundred fifteen".