393231 has 16 divisors (see below), whose sum is σ = 564480. Its totient is φ = 242880.

The previous prime is 393209. The next prime is 393241. The reversal of 393231 is 132393.

393231 = 69² + 70² + ... + 114².

It is not a de Polignac number, because 393231 - 2⁷ = 393103 is a prime.

It is a super-2 number, since 2×393231² = 309261238722, which contains 22 as substring.

393231 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 393198 and 393207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760 + ... + 2898.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2³⁹³²³¹ is an apocalyptic number.

393231 is a deficient number, since it is larger than the sum of its proper divisors (171249).

393231 is a wasteful number, since it uses less digits than its factorization.

393231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its digits is 486, while the sum is 21.

The square root of 393231 is about 627.0813344376. The cubic root of 393231 is about 73.2626430824.

The spelling of 393231 in words is "three hundred ninety-three thousand, two hundred thirty-one".