289760961 has 24 divisors (see below), whose sum is σ = 459886944. Its totient is φ = 161723520.

The previous prime is 289760957. The next prime is 289760993. The reversal of 289760961 is 169067982.

It is not a de Polignac number, because 289760961 - 2² = 289760957 is a prime.

It is a super-2 number, since 2×289760961² = 167922829039287042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 289760961.

It is not an unprimeable number, because it can be changed into a prime (289760921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16600 + ... + 29241.

It is an arithmetic number, because the mean of its divisors is an integer number (19161956).

Almost surely, 2^289760961 is an apocalyptic number.

289760961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

289760961 is a deficient number, since it is larger than the sum of its proper divisors (170125983).

289760961 is a wasteful number, since it uses less digits than its factorization.

289760961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45901 (or 45894 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 289760961 is about 17022.3664923535. The cubic root of 289760961 is about 661.7286799298.

The spelling of 289760961 in words is "two hundred eighty-nine million, seven hundred sixty thousand, nine hundred sixty-one".