289672137 has 12 divisors (see below), whose sum is σ = 418784964. Its totient is φ = 192944160.

The previous prime is 289672111. The next prime is 289672147. The reversal of 289672137 is 731276982.

It can be written as a sum of positive squares in 2 ways, for example, as 215384976 + 74287161 = 14676^2 + 8619^2 .

It is not a de Polignac number, because 289672137 - 2⁸ = 289671881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289672092 and 289672101.

It is not an unprimeable number, because it can be changed into a prime (289672147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2998 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (34898747).

Almost surely, 2^289672137 is an apocalyptic number.

It is an amenable number.

289672137 is a deficient number, since it is larger than the sum of its proper divisors (129112827).

289672137 is a wasteful number, since it uses less digits than its factorization.

289672137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28440 (or 28437 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 289672137 is about 17019.7572544381. The cubic root of 289672137 is about 661.6610570692.

The spelling of 289672137 in words is "two hundred eighty-nine million, six hundred seventy-two thousand, one hundred thirty-seven".