613938 has 32 divisors (see below), whose sum is σ = 1403136. Its totient is φ = 177408.

The previous prime is 613903. The next prime is 613957. The reversal of 613938 is 839316.

613938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 613938.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095 + ... + 1557.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2⁶¹³⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568).

613938 is an abundant number, since it is smaller than the sum of its proper divisors (789198).

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

613938 is a wasteful number, since it uses less digits than its factorization.

613938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498.

The product of its digits is 3888, while the sum is 30.

The square root of 613938 is about 783.5419580342. The cubic root of 613938 is about 84.9913716732.

It can be divided in two parts, 613 and 938, that added together give a palindrome (1551).

The spelling of 613938 in words is "six hundred thirteen thousand, nine hundred thirty-eight".