942912 has 42 divisors (see below), whose sum is σ = 2704338. Its totient is φ = 314112.

The previous prime is 942901. The next prime is 942917. The reversal of 942912 is 219249.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 389376 = 744^2 + 624^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942917) by changing a digit.

942912 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 5 ways as a sum of consecutive naturals, for example, 243 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (64389).

2⁹⁴²⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352169).

942912 is an abundant number, since it is smaller than the sum of its proper divisors (1761426).

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

942912 is a wasteful number, since it uses less digits than its factorization.

942912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 942912 is about 971.0365595589. The cubic root of 942912 is about 98.0596610202.

The spelling of 942912 in words is "nine hundred forty-two thousand, nine hundred twelve".