13800633 has 16 divisors (see below), whose sum is σ = 22941696. Its totient is φ = 7169040.

The previous prime is 13800629. The next prime is 13800637. The reversal of 13800633 is 33600831.

13800633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13800629) and next prime (13800637).

It is not a de Polignac number, because 13800633 - 2² = 13800629 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13800637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29641 + ... + 30102.

It is an arithmetic number, because the mean of its divisors is an integer number (1433856).

Almost surely, 2^13800633 is an apocalyptic number.

It is an amenable number.

13800633 is a deficient number, since it is larger than the sum of its proper divisors (9141063).

13800633 is a wasteful number, since it uses less digits than its factorization.

13800633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59764.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13800633 is about 3714.9203221604. The cubic root of 13800633 is about 239.8646980423.

The spelling of 13800633 in words is "thirteen million, eight hundred thousand, six hundred thirty-three".