203742 has 64 divisors (see below), whose sum is σ = 576000. Its totient is φ = 52920.

The previous prime is 203713. The next prime is 203761. The reversal of 203742 is 247302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203742.

It is an unprimeable number.

203742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18517 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2²⁰³⁷⁴² is an apocalyptic number.

203742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

203742 is an abundant number, since it is smaller than the sum of its proper divisors (372258).

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

203742 is a wasteful number, since it uses less digits than its factorization.

203742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 203742 is about 451.3778904643. The cubic root of 203742 is about 58.8428259438.

The spelling of 203742 in words is "two hundred three thousand, seven hundred forty-two", and thus it is an iban number.