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86370 = 2352879

86370 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 23024.

The previous prime is 86369. The next prime is 86371. The reversal of 86370 is 7368.

It is an interprime number because it is at equal distance from previous prime (86369) and next prime (86371).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86370.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1410 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

286370 is an apocalyptic number.

86370 is an abundant number, since it is smaller than the sum of its proper divisors (120990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

86370 is a wasteful number, since it uses less digits than its factorization.

86370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 86370 is about 293.8877336671. The cubic root of 86370 is about 44.2032606809.

Adding to 86370 its product of nonzero digits (1008), we get a palindrome (87378).

The spelling of 86370 in words is "eighty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 2879 5758 8637 14395 17274 28790 43185 86370