13772980 has 24 divisors (see below), whose sum is σ = 31148712. Its totient is φ = 5085312.

The previous prime is 13772977. The next prime is 13773013. The reversal of 13772980 is 8927731.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 12124324 = 1284^2 + 3482^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26227 + ... + 26746.

It is an arithmetic number, because the mean of its divisors is an integer number (1297863).

Almost surely, 2^13772980 is an apocalyptic number.

13772980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13772980 is an abundant number, since it is smaller than the sum of its proper divisors (17375732).

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

13772980 is a wasteful number, since it uses less digits than its factorization.

13772980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52995 (or 52993 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 13772980 is about 3711.1965725356. The cubic root of 13772980 is about 239.7043813934.

The spelling of 13772980 in words is "thirteen million, seven hundred seventy-two thousand, nine hundred eighty".