13613724 has 48 divisors (see below), whose sum is σ = 35511840. Its totient is φ = 4510080.

The previous prime is 13613713. The next prime is 13613741. The reversal of 13613724 is 42731631.

It is a super-2 number, since 2×13613724² = 370666962296352, which contains 22 as substring.

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

It is a congruent number.

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, 24894 + ... + 25434.

It is an arithmetic number, because the mean of its divisors is an integer number (739830).

Almost surely, 2^13613724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13613724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755920).

13613724 is an abundant number, since it is smaller than the sum of its proper divisors (21898116).

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

13613724 is a wasteful number, since it uses less digits than its factorization.

13613724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13613724 is about 3689.6780347342. The cubic root of 13613724 is about 238.7769023896.

It can be divided in two parts, 136137 and 24, that added together give a square (136161 = 369²).

The spelling of 13613724 in words is "thirteen million, six hundred thirteen thousand, seven hundred twenty-four".