396516 has 24 divisors (see below), whose sum is σ = 935424. Its totient is φ = 130720.

The previous prime is 396509. The next prime is 396523. The reversal of 396516 is 615693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396509) and next prime (396523).

It is an unprimeable number.

396516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1981 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (38976).

2³⁹⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

396516 is an abundant number, since it is smaller than the sum of its proper divisors (538908).

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

396516 is a wasteful number, since it uses less digits than its factorization.

396516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

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

The square root of 396516 is about 629.6951643454. The cubic root of 396516 is about 73.4660864415.

It can be divided in two parts, 39 and 6516, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 396516 in words is "three hundred ninety-six thousand, five hundred sixteen".