37485 has 36 divisors (see below), whose sum is σ = 80028. Its totient is φ = 16128.
The previous prime is 37483. The next prime is 37489. The reversal of 37485 is 58473.
37485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 15876 = 147^2 + 126^2 .
It is not a de Polignac number, because 37485 - 21 = 37483 is a prime.
It is a d-powerful number, because it can be written as 37 + 74 + 4 + 85 + 53 .
Its product of digits (3360) is a multiple of the sum of its prime divisors (32).
It is a plaindrome in base 8.
It is a zygodrome in base 8.
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 37485.
It is not an unprimeable number, because it can be changed into a prime (37483) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2197 + ... + 2213.
It is an arithmetic number, because the mean of its divisors is an integer number (2223).
237485 is an apocalyptic number.
37485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.
It is an amenable number.
37485 is an abundant number, since it is smaller than the sum of its proper divisors (42543).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40014).
37485 is a wasteful number, since it uses less digits than its factorization.
37485 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42 (or 32 counting only the distinct ones).
The product of its digits is 3360, while the sum is 27.
The square root of 37485 is about 193.6104336032. The cubic root of 37485 is about 33.4671840226.
The spelling of 37485 in words is "thirty-seven thousand, four hundred eighty-five".
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