123585961 has 2 divisors, whose sum is σ = 123585962. Its totient is φ = 123585960.

The previous prime is 123585949. The next prime is 123585991. The reversal of 123585961 is 169585321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101203600 + 22382361 = 10060^2 + 4731^2 .

It is an emirp because it is prime and its reverse (169585321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123585961 - 2⁵ = 123585929 is a prime.

It is not a weakly prime, because it can be changed into another prime (123585901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61792980 + 61792981.

It is an arithmetic number, because the mean of its divisors is an integer number (61792981).

Almost surely, 2^123585961 is an apocalyptic number.

It is an amenable number.

123585961 is a deficient number, since it is larger than the sum of its proper divisors (1).

123585961 is an equidigital number, since it uses as much as digits as its factorization.

123585961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64800, while the sum is 40.

The square root of 123585961 is about 11116.9222809193. The cubic root of 123585961 is about 498.1074602916.

The spelling of 123585961 in words is "one hundred twenty-three million, five hundred eighty-five thousand, nine hundred sixty-one".