13553730 has 80 divisors (see below), whose sum is σ = 37766520. Its totient is φ = 3483648.

The previous prime is 13553723. The next prime is 13553731. The reversal of 13553730 is 3735531.

It can be written as a sum of positive squares in 4 ways, for example, as 13417569 + 136161 = 3663^2 + 369^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13553694 and 13553703.

It is not an unprimeable number, because it can be changed into a prime (13553731) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23202 + ... + 23778.

Almost surely, 2^13553730 is an apocalyptic number.

13553730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883260).

13553730 is an abundant number, since it is smaller than the sum of its proper divisors (24212790).

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

13553730 is a wasteful number, since it uses less digits than its factorization.

13553730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 13553730 is about 3681.5390803304. The cubic root of 13553730 is about 238.4256324443.

The spelling of 13553730 in words is "thirteen million, five hundred fifty-three thousand, seven hundred thirty".