396513 has 12 divisors (see below), whose sum is σ = 616980. Its totient is φ = 243936.

The previous prime is 396509. The next prime is 396523. The reversal of 396513 is 315693.

396513 is a `hidden beast` number, since 3 + 9 + 651 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 154449 = 492^2 + 393^2 .

It is not a de Polignac number, because 396513 - 2² = 396509 is a prime.

It is a super-3 number, since 3×396513³ = 187022365811333091, which contains 333 as substring.

396513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (396523) 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, 1578 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (51415).

2³⁹⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

396513 is a deficient number, since it is larger than the sum of its proper divisors (220467).

396513 is a wasteful number, since it uses less digits than its factorization.

396513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3405 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 396513 is about 629.6927822359. The cubic root of 396513 is about 73.4659011620.

It can be divided in two parts, 396 and 513, that added together give a palindrome (909).

The spelling of 396513 in words is "three hundred ninety-six thousand, five hundred thirteen".