13573000 has 96 divisors (see below), whose sum is σ = 37079640. Its totient is φ = 4636800.

The previous prime is 13572983. The next prime is 13573003. The reversal of 13573000 is 37531.

13573000 = 78³ + 79³ + ... + 97³.

13573000 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 4 ways, for example, as 1999396 + 11573604 = 1414^2 + 3402^2 .

It is not an unprimeable number, because it can be changed into a prime (13573003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48862 + ... + 49138.

Almost surely, 2^13573000 is an apocalyptic number.

13573000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539820).

13573000 is an abundant number, since it is smaller than the sum of its proper divisors (23506640).

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

13573000 is a wasteful number, since it uses less digits than its factorization.

13573000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 13573000 is about 3684.1552627434. The cubic root of 13573000 is about 238.5385727263.

The spelling of 13573000 in words is "thirteen million, five hundred seventy-three thousand".