527742 has 32 divisors (see below), whose sum is σ = 1216800. Its totient is φ = 169344.

The previous prime is 527741. The next prime is 527749. The reversal of 527742 is 247725.

527742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1398 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (38025).

2⁵²⁷⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608400).

527742 is an abundant number, since it is smaller than the sum of its proper divisors (689058).

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

527742 is a wasteful number, since it uses less digits than its factorization.

527742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 527742 is about 726.4585328840. The cubic root of 527742 is about 80.8116336221.

The spelling of 527742 in words is "five hundred twenty-seven thousand, seven hundred forty-two".