613972 has 12 divisors (see below), whose sum is σ = 1137780. Its totient is φ = 288896.

The previous prime is 613969. The next prime is 613981. The reversal of 613972 is 279316.

613972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 42436 = 756^2 + 206^2 .

It is a super-3 number, since 3×613972³ = 694331633340318144, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 613972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4447 + ... + 4582.

It is an arithmetic number, because the mean of its divisors is an integer number (94815).

2⁶¹³⁹⁷² is an apocalyptic number.

It is an amenable number.

613972 is a deficient number, since it is larger than the sum of its proper divisors (523808).

613972 is a wasteful number, since it uses less digits than its factorization.

613972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9048 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 613972 is about 783.5636540831. The cubic root of 613972 is about 84.9929405902.

The spelling of 613972 in words is "six hundred thirteen thousand, nine hundred seventy-two".