357942 has 24 divisors (see below), whose sum is σ = 777384. Its totient is φ = 109824.

The previous prime is 357913. The next prime is 357967. The reversal of 357942 is 249753.

It is a d-powerful number, because it can be written as 3⁶ + 5⁷ + 9 + 7⁵ + 4⁹ + 2⁷ .

It is a congruent number.

It is an unprimeable number.

357942 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 838 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (32391).

2³⁵⁷⁹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388692).

357942 is an abundant number, since it is smaller than the sum of its proper divisors (419442).

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

357942 is a wasteful number, since it uses less digits than its factorization.

357942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 357942 is about 598.2825419482. The cubic root of 357942 is about 71.0020497987.

The spelling of 357942 in words is "three hundred fifty-seven thousand, nine hundred forty-two".