412022057 has 2 divisors, whose sum is σ = 412022058. Its totient is φ = 412022056.

The previous prime is 412022003. The next prime is 412022059. The reversal of 412022057 is 750220214.

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., 319015321 + 93006736 = 17861^2 + 9644^2 .

It is a cyclic number.

It is not a de Polignac number, because 412022057 - 2¹⁰ = 412021033 is a prime.

It is a super-2 number, since 2×412022057² = 339524350909022498, which contains 22 as substring.

Together with 412022059, 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 (412022059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206011028 + 206011029.

It is an arithmetic number, because the mean of its divisors is an integer number (206011029).

Almost surely, 2^412022057 is an apocalyptic number.

It is an amenable number.

412022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

412022057 is an equidigital number, since it uses as much as digits as its factorization.

412022057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 412022057 is about 20298.3264581098. The cubic root of 412022057 is about 744.1151646841.

The spelling of 412022057 in words is "four hundred twelve million, twenty-two thousand, fifty-seven".