187164 has 24 divisors (see below), whose sum is σ = 485520. Its totient is φ = 62352.

The previous prime is 187163. The next prime is 187171. The reversal of 187164 is 461781.

187164 = 2² + 3² + ... + 82².

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187163) 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, 759 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (20230).

2¹⁸⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

187164 is an abundant number, since it is smaller than the sum of its proper divisors (298356).

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

187164 is a wasteful number, since it uses less digits than its factorization.

187164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 187164 is about 432.6245485406. The cubic root of 187164 is about 57.2015028865.

It can be divided in two parts, 187 and 164, that added together give a triangular number (351 = T₂₆).

The spelling of 187164 in words is "one hundred eighty-seven thousand, one hundred sixty-four".