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37325 = 521493
BaseRepresentation
bin1001000111001101
31220012102
421013031
52143300
6444445
7213551
oct110715
956172
1037325
1126052
1219725
1313cb2
14d861
15b0d5
hex91cd

37325 has 6 divisors (see below), whose sum is σ = 46314. Its totient is φ = 29840.

The previous prime is 37321. The next prime is 37337. The reversal of 37325 is 52373.

37325 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 3 ways, for example, as 7396 + 29929 = 86^2 + 173^2 .

It is not a de Polignac number, because 37325 - 22 = 37321 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 37297 and 37306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (7719).

237325 is an apocalyptic number.

It is an amenable number.

37325 is a deficient number, since it is larger than the sum of its proper divisors (8989).

37325 is a wasteful number, since it uses less digits than its factorization.

37325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1498 counting only the distinct ones).

The product of its digits is 630, while the sum is 20.

The square root of 37325 is about 193.1967908636. The cubic root of 37325 is about 33.4194992931.

Adding to 37325 its reverse (52373), we get a palindrome (89698).

The spelling of 37325 in words is "thirty-seven thousand, three hundred twenty-five".

Divisors: 1 5 25 1493 7465 37325