213774 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 62400.

The previous prime is 213751. The next prime is 213791. The reversal of 213774 is 477312.

213774 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213774.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667 + ... + 2745.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²¹³⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

213774 is an abundant number, since it is smaller than the sum of its proper divisors (270066).

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

213774 is a wasteful number, since it uses less digits than its factorization.

213774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its digits is 1176, while the sum is 24.

The square root of 213774 is about 462.3570049215. The cubic root of 213774 is about 59.7931767773.

It can be divided in two parts, 2137 and 74, that added together give a triangular number (2211 = T₆₆).

The spelling of 213774 in words is "two hundred thirteen thousand, seven hundred seventy-four".