13217940 has 36 divisors (see below), whose sum is σ = 40094964. Its totient is φ = 3524736.

The previous prime is 13217929. The next prime is 13217957. The reversal of 13217940 is 4971231.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 9847044 = 1836^2 + 3138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36537 + ... + 36896.

It is an arithmetic number, because the mean of its divisors is an integer number (1113749).

Almost surely, 2^13217940 is an apocalyptic number.

13217940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13217940 is an abundant number, since it is smaller than the sum of its proper divisors (26877024).

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

13217940 is a wasteful number, since it uses less digits than its factorization.

13217940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73448 (or 73443 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13217940 is about 3635.6484978611. The cubic root of 13217940 is about 236.4401677045.

It can be divided in two parts, 1321 and 7940, that added together give a cube (9261 = 21³).

The spelling of 13217940 in words is "thirteen million, two hundred seventeen thousand, nine hundred forty".