396165 has 40 divisors (see below), whose sum is σ = 806688. Its totient is φ = 164640.

The previous prime is 396157. The next prime is 396173. The reversal of 396165 is 561693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396157) and next prime (396173).

It is not a de Polignac number, because 396165 - 2³ = 396157 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396165.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36010 + ... + 36020.

2³⁹⁶¹⁶⁵ is an apocalyptic number.

396165 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

396165 is an abundant number, since it is smaller than the sum of its proper divisors (410523).

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

396165 is an equidigital number, since it uses as much as digits as its factorization.

396165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 26 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 396165 is about 629.4163963546. The cubic root of 396165 is about 73.4444023994. Note that the first 4 decimals are identical.

It can be divided in two parts, 39616 and 5, that added together give a triangular number (39621 = T₂₈₁).

The spelling of 396165 in words is "three hundred ninety-six thousand, one hundred sixty-five".