121958257 has 2 divisors, whose sum is σ = 121958258. Its totient is φ = 121958256.

The previous prime is 121958237. The next prime is 121958261. The reversal of 121958257 is 752859121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78872161 + 43086096 = 8881^2 + 6564^2 .

It is a cyclic number.

It is not a de Polignac number, because 121958257 - 2¹⁹ = 121433969 is a prime.

It is not a weakly prime, because it can be changed into another prime (121958237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60979128 + 60979129.

It is an arithmetic number, because the mean of its divisors is an integer number (60979129).

Almost surely, 2^121958257 is an apocalyptic number.

It is an amenable number.

121958257 is a deficient number, since it is larger than the sum of its proper divisors (1).

121958257 is an equidigital number, since it uses as much as digits as its factorization.

121958257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50400, while the sum is 40.

The square root of 121958257 is about 11043.4712387003. The cubic root of 121958257 is about 495.9109938820.

The spelling of 121958257 in words is "one hundred twenty-one million, nine hundred fifty-eight thousand, two hundred fifty-seven".