742938 has 48 divisors (see below), whose sum is σ = 1828800. Its totient is φ = 201096.

The previous prime is 742913. The next prime is 742943. The reversal of 742938 is 839247.

742938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (12096) is a multiple of the sum of its prime factors (64).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 742899 and 742908.

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, 39093 + ... + 39111.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2⁷⁴²⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914400).

742938 is an abundant number, since it is smaller than the sum of its proper divisors (1085862).

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

742938 is a wasteful number, since it uses less digits than its factorization.

742938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 742938 is about 861.9385128882. The cubic root of 742938 is about 90.5699630947.

The spelling of 742938 in words is "seven hundred forty-two thousand, nine hundred thirty-eight".