13237830 has 80 divisors (see below), whose sum is σ = 36329040. Its totient is φ = 3457728.

The previous prime is 13237817. The next prime is 13237831. The reversal of 13237830 is 3873231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13237794 and 13237803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13237831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47652 + ... + 47928.

It is an arithmetic number, because the mean of its divisors is an integer number (454113).

Almost surely, 2^13237830 is an apocalyptic number.

13237830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13237830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164520).

13237830 is an abundant number, since it is smaller than the sum of its proper divisors (23091210).

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

13237830 is a wasteful number, since it uses less digits than its factorization.

13237830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13237830 is about 3638.3828825455. The cubic root of 13237830 is about 236.5587045321.

The spelling of 13237830 in words is "thirteen million, two hundred thirty-seven thousand, eight hundred thirty".