13177940 has 12 divisors (see below), whose sum is σ = 27673716. Its totient is φ = 5271168.

The previous prime is 13177937. The next prime is 13177943. The reversal of 13177940 is 4977131.

It is an interprime number because it is at equal distance from previous prime (13177937) and next prime (13177943).

It can be written as a sum of positive squares in 2 ways, for example, as 8213956 + 4963984 = 2866^2 + 2228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13177897 and 13177906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13177943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329429 + ... + 329468.

It is an arithmetic number, because the mean of its divisors is an integer number (2306143).

Almost surely, 2^13177940 is an apocalyptic number.

13177940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13177940 is an abundant number, since it is smaller than the sum of its proper divisors (14495776).

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

13177940 is a wasteful number, since it uses less digits than its factorization.

13177940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658906 (or 658904 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 13177940 is about 3630.1432478623. The cubic root of 13177940 is about 236.2014224096.

The spelling of 13177940 in words is "thirteen million, one hundred seventy-seven thousand, nine hundred forty".