167970 has 32 divisors (see below), whose sum is σ = 440640. Its totient is φ = 40640.

The previous prime is 167953. The next prime is 167971. The reversal of 167970 is 79761.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (167971) by changing a digit.

167970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2¹⁶⁷⁹⁷⁰ is an apocalyptic number.

167970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 167970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

167970 is an abundant number, since it is smaller than the sum of its proper divisors (272670).

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

167970 is a wasteful number, since it uses less digits than its factorization.

167970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 167970 is about 409.8414327517. The cubic root of 167970 is about 55.1751988986.

Subtracting from 167970 its reverse (79761), we obtain a square (88209 = 297²).

The spelling of 167970 in words is "one hundred sixty-seven thousand, nine hundred seventy".