83970 has 32 divisors (see below), whose sum is σ = 224640. Its totient is φ = 22320.

The previous prime is 83969. The next prime is 83983. The reversal of 83970 is 7938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁸³⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

83970 is an abundant number, since it is smaller than the sum of its proper divisors (140670).

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

83970 is a wasteful number, since it uses less digits than its factorization.

83970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 83970 is about 289.7757753850. The cubic root of 83970 is about 43.7899770648.

It can be divided in two parts, 839 and 70, that added together give a palindrome (909).

The spelling of 83970 in words is "eighty-three thousand, nine hundred seventy".