661167 has 12 divisors (see below), whose sum is σ = 1028664. Its totient is φ = 406800.

The previous prime is 661139. The next prime is 661183. The reversal of 661167 is 761166.

It is not a de Polignac number, because 661167 - 2⁶ = 661103 is a prime.

It is a super-3 number, since 3×661167³ = 867071201188633389, which contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

661167 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 661167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2709 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (85722).

2⁶⁶¹¹⁶⁷ is an apocalyptic number.

661167 is a deficient number, since it is larger than the sum of its proper divisors (367497).

661167 is a wasteful number, since it uses less digits than its factorization.

661167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5667 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 661167 is about 813.1217620996. The cubic root of 661167 is about 87.1171627962.

Subtracting 661167 from its reverse (761166), we obtain a palindrome (99999).

It can be divided in two parts, 661 and 167, that added together give a palindrome (828).

The spelling of 661167 in words is "six hundred sixty-one thousand, one hundred sixty-seven".