37025 has 6 divisors (see below), whose sum is σ = 45942. Its totient is φ = 29600.

The previous prime is 37021. The next prime is 37039. The reversal of 37025 is 52073.

It can be written as a sum of positive squares in 3 ways, for example, as 1681 + 35344 = 41^2 + 188^2 .

It is not a de Polignac number, because 37025 - 2² = 37021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 36994 and 37012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37025.

It is not an unprimeable number, because it can be changed into a prime (37021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 716 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (7657).

2³⁷⁰²⁵ is an apocalyptic number.

It is an amenable number.

37025 is a deficient number, since it is larger than the sum of its proper divisors (8917).

37025 is a wasteful number, since it uses less digits than its factorization.

37025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 37025 is about 192.4188140489. The cubic root of 37025 is about 33.3297218309.

Adding to 37025 its reverse (52073), we get a palindrome (89098).

The spelling of 37025 in words is "thirty-seven thousand, twenty-five".