1354166401 has 15 divisors (see below), whose sum is σ = 1581873153. Its totient is φ = 1159168500.

The previous prime is 1354166393. The next prime is 1354166477. The reversal of 1354166401 is 1046614531.

The square root of 1354166401 is 36799.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1354166401 - 2³ = 1354166393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1354166201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1802776 + ... + 1803526.

Almost surely, 2^1354166401 is an apocalyptic number.

1354166401 is the 36799-th square number.

1354166401 is the 18400-th centered octagonal number.

It is an amenable number.

1354166401 is a deficient number, since it is larger than the sum of its proper divisors (227706752).

1354166401 is an frugal number, since it uses more digits than its factorization.

1354166401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 1354166401 is about 1106.3452562022.

The spelling of 1354166401 in words is "one billion, three hundred fifty-four million, one hundred sixty-six thousand, four hundred one".