16800961 has 2 divisors, whose sum is σ = 16800962. Its totient is φ = 16800960.

The previous prime is 16800941. The next prime is 16800967. The reversal of 16800961 is 16900861.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9265936 + 7535025 = 3044^2 + 2745^2 .

It is a cyclic number.

It is not a de Polignac number, because 16800961 - 2⁵ = 16800929 is a prime.

It is a super-3 number, since 3×16800961³ (a number of 23 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (16800967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8400480 + 8400481.

It is an arithmetic number, because the mean of its divisors is an integer number (8400481).

Almost surely, 2^16800961 is an apocalyptic number.

It is an amenable number.

16800961 is a deficient number, since it is larger than the sum of its proper divisors (1).

16800961 is an equidigital number, since it uses as much as digits as its factorization.

16800961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 16800961 is about 4098.8975347037. The cubic root of 16800961 is about 256.1207163829.

The spelling of 16800961 in words is "sixteen million, eight hundred thousand, nine hundred sixty-one".