167541 has 8 divisors (see below), whose sum is σ = 243744. Its totient is φ = 101520.

The previous prime is 167537. The next prime is 167543. The reversal of 167541 is 145761.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 167541 - 2² = 167537 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 7 ways as a sum of consecutive naturals, for example, 2506 + ... + 2571.

It is an arithmetic number, because the mean of its divisors is an integer number (30468).

2¹⁶⁷⁵⁴¹ is an apocalyptic number.

167541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

167541 is a deficient number, since it is larger than the sum of its proper divisors (76203).

167541 is a wasteful number, since it uses less digits than its factorization.

167541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091.

The product of its digits is 840, while the sum is 24.

The square root of 167541 is about 409.3177250010. The cubic root of 167541 is about 55.1281858598.

It can be divided in two parts, 16 and 7541, that added together give a palindrome (7557).

The spelling of 167541 in words is "one hundred sixty-seven thousand, five hundred forty-one".