13465000 has 40 divisors (see below), whose sum is σ = 31560210. Its totient is φ = 5384000.

The previous prime is 13464991. The next prime is 13465009. The reversal of 13465000 is 56431.

It is an interprime number because it is at equal distance from previous prime (13464991) and next prime (13465009).

It can be written as a sum of positive squares in 5 ways, for example, as 54756 + 13410244 = 234^2 + 3662^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13465009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 3654 + ... + 6346.

Almost surely, 2^13465000 is an apocalyptic number.

13465000 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 13465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15780105).

13465000 is an abundant number, since it is smaller than the sum of its proper divisors (18095210).

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

13465000 is an equidigital number, since it uses as much as digits as its factorization.

13465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13465000 is about 3669.4686263818. The cubic root of 13465000 is about 237.9042054986.

The spelling of 13465000 in words is "thirteen million, four hundred sixty-five thousand".