82370 has 8 divisors (see below), whose sum is σ = 148284. Its totient is φ = 32944.

The previous prime is 82361. The next prime is 82373. The reversal of 82370 is 7328.

It is a Cunningham number, because it is equal to 287²+1.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 1 = 287^2 + 1^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁵ + 3³ + 7⁵ + 0 .

It is not an unprimeable number, because it can be changed into a prime (82373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4109 + ... + 4128.

2⁸²³⁷⁰ is an apocalyptic number.

82370 is a deficient number, since it is larger than the sum of its proper divisors (65914).

82370 is a wasteful number, since it uses less digits than its factorization.

82370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 82370 is about 287.0017421550. The cubic root of 82370 is about 43.5100606492.

Adding to 82370 its reverse (7328), we get a palindrome (89698).

The spelling of 82370 in words is "eighty-two thousand, three hundred seventy".