167052 has 12 divisors (see below), whose sum is σ = 389816. Its totient is φ = 55680.

The previous prime is 167051. The next prime is 167071. The reversal of 167052 is 250761.

167052 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167052.

It is not an unprimeable number, because it can be changed into a prime (167051) 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 3 ways as a sum of consecutive naturals, for example, 6949 + ... + 6972.

2¹⁶⁷⁰⁵² is an apocalyptic number.

167052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167052 is an abundant number, since it is smaller than the sum of its proper divisors (222764).

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

167052 is a wasteful number, since it uses less digits than its factorization.

167052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 167052 is about 408.7199530241. The cubic root of 167052 is about 55.0744995929.

The spelling of 167052 in words is "one hundred sixty-seven thousand, fifty-two".