537930 has 48 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 139104.

The previous prime is 537919. The next prime is 537941. The reversal of 537930 is 39735.

537930 = 326² + 327² + ... + 330².

It is an interprime number because it is at equal distance from previous prime (537919) and next prime (537941).

It is a junction number, because it is equal to n+sod(n) for n = 537894 and 537903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3801 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁵³⁷⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720).

537930 is an abundant number, since it is smaller than the sum of its proper divisors (903510).

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

537930 is a wasteful number, since it uses less digits than its factorization.

537930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 537930 is about 733.4371138687. The cubic root of 537930 is about 81.3283425825.

Subtracting from 537930 its product of nonzero digits (2835), we obtain a triangular number (535095 = T₁₀₃₄).

The spelling of 537930 in words is "five hundred thirty-seven thousand, nine hundred thirty".