13214920 has 32 divisors (see below), whose sum is σ = 30540600. Its totient is φ = 5142528.

The previous prime is 13214917. The next prime is 13214921. The reversal of 13214920 is 2941231.

It can be written as a sum of positive squares in 4 ways, for example, as 9821956 + 3392964 = 3134^2 + 1842^2 .

It is a super-2 number, since 2×13214920² = 349268221212800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13214891 and 13214900.

It is not an unprimeable number, because it can be changed into a prime (13214921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 5944.

Almost surely, 2^13214920 is an apocalyptic number.

13214920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214920 is an abundant number, since it is smaller than the sum of its proper divisors (17325680).

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

13214920 is a wasteful number, since it uses less digits than its factorization.

13214920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13214920 is about 3635.2331424546. The cubic root of 13214920 is about 236.4221592580.

It can be divided in two parts, 1321 and 4920, that added together give a square (6241 = 79²).

The spelling of 13214920 in words is "thirteen million, two hundred fourteen thousand, nine hundred twenty".