13395700 has 36 divisors (see below), whose sum is σ = 29389612. Its totient is φ = 5299200.

The previous prime is 13395691. The next prime is 13395713. The reversal of 13395700 is 759331.

It can be written as a sum of positive squares in 6 ways, for example, as 478864 + 12916836 = 692^2 + 3594^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9010 + ... + 10390.

Almost surely, 2^13395700 is an apocalyptic number.

13395700 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 13395700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694806).

13395700 is an abundant number, since it is smaller than the sum of its proper divisors (15993912).

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

13395700 is a wasteful number, since it uses less digits than its factorization.

13395700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 28.

The square root of 13395700 is about 3660.0136611767. The cubic root of 13395700 is about 237.4953646371.

The spelling of 13395700 in words is "thirteen million, three hundred ninety-five thousand, seven hundred".