393090 has 16 divisors (see below), whose sum is σ = 943488. Its totient is φ = 104816.

The previous prime is 393083. The next prime is 393097. The reversal of 393090 is 90393.

It is an interprime number because it is at equal distance from previous prime (393083) and next prime (393097).

It is a self number, because there is not a number n which added to its sum of digits gives 393090.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393090.

It is not an unprimeable number, because it can be changed into a prime (393097) by changing a digit.

393090 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 7 ways as a sum of consecutive naturals, for example, 6522 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

2³⁹³⁰⁹⁰ is an apocalyptic number.

393090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

393090 is an abundant number, since it is smaller than the sum of its proper divisors (550398).

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

393090 is a wasteful number, since it uses less digits than its factorization.

393090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 393090 is about 626.9688987502. The cubic root of 393090 is about 73.2538854924.

The spelling of 393090 in words is "three hundred ninety-three thousand, ninety".