375564 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 100608.

The previous prime is 375563. The next prime is 375569. The reversal of 375564 is 465573.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 375564.

It is not an unprimeable number, because it can be changed into a prime (375563) 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, 1297 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2³⁷⁵⁵⁶⁴ is an apocalyptic number.

375564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

375564 is an abundant number, since it is smaller than the sum of its proper divisors (688884).

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

375564 is a wasteful number, since it uses less digits than its factorization.

375564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 375564 is about 612.8327667480. The cubic root of 375564 is about 72.1486127953.

Subtracting 375564 from its reverse (465573), we obtain a palindrome (90009).

It can be divided in two parts, 375 and 564, that added together give a palindrome (939).

The spelling of 375564 in words is "three hundred seventy-five thousand, five hundred sixty-four".