167538 has 16 divisors (see below), whose sum is σ = 383040. Its totient is φ = 47856.

The previous prime is 167537. The next prime is 167543. The reversal of 167538 is 835761.

167538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (167537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1953 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2¹⁶⁷⁵³⁸ is an apocalyptic number.

167538 is an abundant number, since it is smaller than the sum of its proper divisors (215502).

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

167538 is a wasteful number, since it uses less digits than its factorization.

167538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001.

The product of its digits is 5040, while the sum is 30.

The square root of 167538 is about 409.3140603498. The cubic root of 167538 is about 55.1278568148.

Adding to 167538 its product of digits (5040), we get a triangular number (172578 = T₅₈₇).

It can be divided in two parts, 16753 and 8, that added together give a palindrome (16761).

The spelling of 167538 in words is "one hundred sixty-seven thousand, five hundred thirty-eight".