616735121 has 2 divisors, whose sum is σ = 616735122. Its totient is φ = 616735120.

The previous prime is 616735103. The next prime is 616735123. The reversal of 616735121 is 121537616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329059600 + 287675521 = 18140^2 + 16961^2 .

It is a cyclic number.

It is not a de Polignac number, because 616735121 - 2¹⁴ = 616718737 is a prime.

Together with 616735123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (616735123) 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 as a sum of consecutive naturals, namely, 308367560 + 308367561.

It is an arithmetic number, because the mean of its divisors is an integer number (308367561).

Almost surely, 2^616735121 is an apocalyptic number.

It is an amenable number.

616735121 is a deficient number, since it is larger than the sum of its proper divisors (1).

616735121 is an equidigital number, since it uses as much as digits as its factorization.

616735121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 616735121 is about 24834.1523108803. The cubic root of 616735121 is about 851.2025060706.

The spelling of 616735121 in words is "six hundred sixteen million, seven hundred thirty-five thousand, one hundred twenty-one".