274164 has 48 divisors (see below), whose sum is σ = 731136. Its totient is φ = 79200.

The previous prime is 274163. The next prime is 274171. The reversal of 274164 is 461472.

274164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274163) 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, 4059 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (15232).

2²⁷⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365568).

274164 is an abundant number, since it is smaller than the sum of its proper divisors (456972).

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

274164 is a wasteful number, since it uses less digits than its factorization.

274164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 274164 is about 523.6067226459. The cubic root of 274164 is about 64.9636088210.

The spelling of 274164 in words is "two hundred seventy-four thousand, one hundred sixty-four".