167601 has 16 divisors (see below), whose sum is σ = 267264. Its totient is φ = 91344.

The previous prime is 167597. The next prime is 167611. The reversal of 167601 is 106761.

167601 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 167601 - 2² = 167597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

167601 is strictly pandigital in base 7.

167601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (167611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (16704).

2¹⁶⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

167601 is a deficient number, since it is larger than the sum of its proper divisors (99663).

167601 is a wasteful number, since it uses less digits than its factorization.

167601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 167601 is about 409.3910111373. The cubic root of 167601 is about 55.1347659334.

It can be divided in two parts, 16760 and 1, that added together give a palindrome (16761).

The spelling of 167601 in words is "one hundred sixty-seven thousand, six hundred one".