361167 has 8 divisors (see below), whose sum is σ = 485760. Its totient is φ = 238680.

The previous prime is 361159. The next prime is 361183. The reversal of 361167 is 761163.

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

It is not a de Polignac number, because 361167 - 2³ = 361159 is a prime.

It is a super-3 number, since 3×361167³ = 141333606088333389, which contains 333 as substring.

361167 is a lucky number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361967) 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, 67 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (60720).

2³⁶¹¹⁶⁷ is an apocalyptic number.

361167 is a deficient number, since it is larger than the sum of its proper divisors (124593).

361167 is a wasteful number, since it uses less digits than its factorization.

361167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053.

The product of its digits is 756, while the sum is 24.

The square root of 361167 is about 600.9717131446. The cubic root of 361167 is about 71.2146515949.

It can be divided in two parts, 361 and 167, that added together give a triangular number (528 = T₃₂).

The spelling of 361167 in words is "three hundred sixty-one thousand, one hundred sixty-seven".