683613 has 16 divisors (see below), whose sum is σ = 1157760. Its totient is φ = 390528.

The previous prime is 683603. The next prime is 683651. The reversal of 683613 is 316386.

It is not a de Polignac number, because 683613 - 2⁴ = 683597 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

683613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (72360).

2⁶⁸³⁶¹³ is an apocalyptic number.

683613 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

683613 is a deficient number, since it is larger than the sum of its proper divisors (474147).

683613 is a wasteful number, since it uses less digits than its factorization.

683613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 683613 is about 826.8089259315. The cubic root of 683613 is about 88.0920610261.

Adding to 683613 its reverse (316386), we get a palindrome (999999).

It can be divided in two parts, 683 and 613, that added together give a 4-th power (1296 = 6⁴).

The spelling of 683613 in words is "six hundred eighty-three thousand, six hundred thirteen".