1461821657 has 2 divisors, whose sum is σ = 1461821658. Its totient is φ = 1461821656.

The previous prime is 1461821617. The next prime is 1461821659. The reversal of 1461821657 is 7561281641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1393080976 + 68740681 = 37324^2 + 8291^2 .

It is a cyclic number.

It is not a de Polignac number, because 1461821657 - 2²⁴ = 1445044441 is a prime.

Together with 1461821659, 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 (1461821659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 730910828 + 730910829.

It is an arithmetic number, because the mean of its divisors is an integer number (730910829).

Almost surely, 2^1461821657 is an apocalyptic number.

It is an amenable number.

1461821657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461821657 is an equidigital number, since it uses as much as digits as its factorization.

1461821657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 80640, while the sum is 41.

The square root of 1461821657 is about 38233.7763894701. The cubic root of 1461821657 is about 1134.9188184155.

The spelling of 1461821657 in words is "one billion, four hundred sixty-one million, eight hundred twenty-one thousand, six hundred fifty-seven".