83070 has 48 divisors (see below), whose sum is σ = 235872. Its totient is φ = 20160.

The previous prime is 83063. The next prime is 83071. The reversal of 83070 is 7038.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83071) by changing a digit.

83070 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁸³⁰⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

83070 is an abundant number, since it is smaller than the sum of its proper divisors (152802).

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

83070 is a wasteful number, since it uses less digits than its factorization.

83070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 83070 is about 288.2186669874. The cubic root of 83070 is about 43.6329661181.

Adding to 83070 its product of nonzero digits (168), we get a palindrome (83238).

It can be divided in two parts, 830 and 70, that added together give a square (900 = 30²).

The spelling of 83070 in words is "eighty-three thousand, seventy".