13761306 has 32 divisors (see below), whose sum is σ = 32934720. Its totient is φ = 4234032.

The previous prime is 13761289. The next prime is 13761323. The reversal of 13761306 is 60316731.

It is an interprime number because it is at equal distance from previous prime (13761289) and next prime (13761323).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13761306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9100 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (1029210).

Almost surely, 2^13761306 is an apocalyptic number.

13761306 is an abundant number, since it is smaller than the sum of its proper divisors (19173414).

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

13761306 is a wasteful number, since it uses less digits than its factorization.

13761306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19627 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13761306 is about 3709.6234310237. The cubic root of 13761306 is about 239.6366376435.

The spelling of 13761306 in words is "thirteen million, seven hundred sixty-one thousand, three hundred six".