167540 has 12 divisors (see below), whose sum is σ = 351876. Its totient is φ = 67008.

The previous prime is 167537. The next prime is 167543. The reversal of 167540 is 45761.

167540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (167537) and next prime (167543).

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 126736 = 202^2 + 356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4169 + ... + 4208.

It is an arithmetic number, because the mean of its divisors is an integer number (29323).

2¹⁶⁷⁵⁴⁰ is an apocalyptic number.

167540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167540 is an abundant number, since it is smaller than the sum of its proper divisors (184336).

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

167540 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 167540 = (507164)₈.

167540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 167540 is about 409.3165034542. The cubic root of 167540 is about 55.1280761786.

It can be divided in two parts, 167 and 540, that added together give a palindrome (707).

The spelling of 167540 in words is "one hundred sixty-seven thousand, five hundred forty".