396507 has 4 divisors (see below), whose sum is σ = 528680. Its totient is φ = 264336.

The previous prime is 396479. The next prime is 396509. The reversal of 396507 is 705693.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 705693 = 3 ⋅235231.

It is not a de Polignac number, because 396507 - 2⁶ = 396443 is a prime.

It is a D-number.

It is a Duffinian number.

396507 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396507.

It is not an unprimeable number, because it can be changed into a prime (396509) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66082 + ... + 66087.

It is an arithmetic number, because the mean of its divisors is an integer number (132170).

2³⁹⁶⁵⁰⁷ is an apocalyptic number.

396507 is a deficient number, since it is larger than the sum of its proper divisors (132173).

396507 is a wasteful number, since it uses less digits than its factorization.

396507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132172.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 396507 is about 629.6880179899. The cubic root of 396507 is about 73.4655306003.

It can be divided in two parts, 396 and 507, that added together give a triangular number (903 = T₄₂).

The spelling of 396507 in words is "three hundred ninety-six thousand, five hundred seven".