52374 has 32 divisors (see below), whose sum is σ = 126720. Its totient is φ = 14112.

The previous prime is 52369. The next prime is 52379. The reversal of 52374 is 47325.

52374 = T_{5} + T_{6} + ... +
T_{67}.

It is a happy number.

52374 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52369) and next prime (52379).

It is a Harshad number since it is a multiple of its sum of digits (21).

52374 is a Rhonda number in base 10.

Its product of digits (840) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 52374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52379) by changing a digit.

52374 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2^{52374} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63360).

52374 is an abundant number, since it is smaller than the sum of its proper divisors (74346).

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

52374 is a wasteful number, since it uses less digits than its factorization.

52374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 840, while the sum is 21.

The square root of 52374 is about 228.8536650351. The cubic root of 52374 is about 37.4143824501.

Adding to 52374 its reverse (47325), we get a palindrome (99699).

The spelling of 52374 in words is "fifty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 29 42 43 58 86 87 129 174 203 258 301 406 602 609 903 1218 1247 1806 2494 3741 7482 8729 17458 26187 52374

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