396693 has 12 divisors (see below), whose sum is σ = 625248. Its totient is φ = 240360.

The previous prime is 396679. The next prime is 396703.

396693 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 396693 - 2⁶ = 396629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (52104).

2³⁹⁶⁶⁹³ is an apocalyptic number.

396693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

396693 is a deficient number, since it is larger than the sum of its proper divisors (228555).

396693 is a wasteful number, since it uses less digits than its factorization.

396693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4021 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 396693 is about 629.8356928597. The cubic root of 396693 is about 73.4770162761.

It can be divided in two parts, 396 and 693, that added together give a square (1089 = 33²).

The spelling of 396693 in words is "three hundred ninety-six thousand, six hundred ninety-three".