537642 has 48 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 144000.

The previous prime is 537637. The next prime is 537661. The reversal of 537642 is 246735.

It is a happy number.

It is an Ulam number.

Its product of digits (5040) is a multiple of the sum of its prime divisors (280).

It is a nialpdrome in base 14.

It is an unprimeable number.

537642 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 2017 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2⁵³⁷⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

537642 is an abundant number, since it is smaller than the sum of its proper divisors (877590).

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

537642 is a wasteful number, since it uses less digits than its factorization.

537642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 280 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 537642 is about 733.2407517317. The cubic root of 537642 is about 81.3138259825.

The spelling of 537642 in words is "five hundred thirty-seven thousand, six hundred forty-two".