12137085 has 12 divisors (see below), whose sum is σ = 21037692. Its totient is φ = 6473088.

The previous prime is 12137039. The next prime is 12137087. The reversal of 12137085 is 58073121.

It can be written as a sum of positive squares in 2 ways, for example, as 7901721 + 4235364 = 2811^2 + 2058^2 .

It is not a de Polignac number, because 12137085 - 2⁸ = 12136829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134812 + ... + 134901.

It is an arithmetic number, because the mean of its divisors is an integer number (1753141).

Almost surely, 2^12137085 is an apocalyptic number.

12137085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12137085 is a deficient number, since it is larger than the sum of its proper divisors (8900607).

12137085 is a wasteful number, since it uses less digits than its factorization.

12137085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269724 (or 269721 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12137085 is about 3483.8319419857. The cubic root of 12137085 is about 229.8113449850.

The spelling of 12137085 in words is "twelve million, one hundred thirty-seven thousand, eighty-five".