537625 has 32 divisors (see below), whose sum is σ = 808704. Its totient is φ = 352000.

The previous prime is 537611. The next prime is 537637. The reversal of 537625 is 526735.

It is not a de Polignac number, because 537625 - 2⁷ = 537497 is a prime.

It is a Duffinian number.

537625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 537593 and 537602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23364 + ... + 23386.

It is an arithmetic number, because the mean of its divisors is an integer number (25272).

2⁵³⁷⁶²⁵ is an apocalyptic number.

537625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

537625 is a deficient number, since it is larger than the sum of its proper divisors (271079).

537625 is a wasteful number, since it uses less digits than its factorization.

537625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 537625 is about 733.2291592674. The cubic root of 537625 is about 81.3129689378.

The spelling of 537625 in words is "five hundred thirty-seven thousand, six hundred twenty-five".