396753 has 12 divisors (see below), whose sum is σ = 615600. Its totient is φ = 226632.

The previous prime is 396733. The next prime is 396833. The reversal of 396753 is 357693.

It is not a de Polignac number, because 396753 - 2¹⁶ = 331217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (396703) 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, 1203 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2³⁹⁶⁷⁵³ is an apocalyptic number.

It is an amenable number.

396753 is a deficient number, since it is larger than the sum of its proper divisors (218847).

396753 is a wasteful number, since it uses less digits than its factorization.

396753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2709 counting only the distinct ones).

The product of its digits is 17010, while the sum is 33.

The square root of 396753 is about 629.8833225289. The cubic root of 396753 is about 73.4807205669.

Subtracting from 396753 its reverse (357693), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 39675 and 3, that multiplied together give a square (119025 = 345²).

The spelling of 396753 in words is "three hundred ninety-six thousand, seven hundred fifty-three".